Cremona's table of elliptic curves

76176 = 2⁴ · 3² · 23²

Field	Data	Notes
Atkin-Lehner	2+ 3- 23-	Signs for the Atkin-Lehner involutions
Class	76176a	Isogeny class
Conductor	76176	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3784704	Modular degree for the optimal curve
Δ	-3.0392044177222E+21	Discriminant
Eigenvalues	2+ 3-  0 -2  0  2  8  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13846575,-20008363826]	[a1,a2,a3,a4,a6]
Generators	[9927709744011845159268614246590:-2336123749114555310046472361987778:178466678396838477626234129]	Generators of the group modulo torsion
j	-10627137250000/110008287	j-invariant
L	6.7551727114801	L(r)(E,1)/r!
Ω	0.039108033553356	Real period
R	43.18276897222	Regulator
r	1	Rank of the group of rational points
S	0.99999999998675	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38088q1 25392f1 3312d1	Quadratic twists by: -4 -3 -23

Hecke Eigenvalues for elliptic curve 76176a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	-2	0	2	8	6	-	-2	4	-6	-10	6	0	12	4	10	-6	0	2	-6	0	-12	-6

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Quadratic twists for elliptic curve 76176a1

-4	-3	-23
38088q1	25392f1	3312d1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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