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	76176cg	Isogeny class
Conductor	76176	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	451584	Modular degree for the optimal curve
Δ	-442182856605696 = -1 · 219 · 313 · 232	Discriminant
Eigenvalues	2- 3- -2 -5 -3  4 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-66171,6629290]	[a1,a2,a3,a4,a6]
Generators	[167:486:1] [141:320:1]	Generators of the group modulo torsion
j	-20285403817/279936	j-invariant
L	7.9315140175639	L(r)(E,1)/r!
Ω	0.53021767428287	Real period
R	0.93493606522289	Regulator
r	2	Rank of the group of rational points
S	0.99999999998403	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9522m1 25392bd1 76176cc1	Quadratic twists by: -4 -3 -23

Hecke Eigenvalues for elliptic curve 76176cg1

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
-	-	-2	-5	-3	4	-6	0	-	-3	1	12	8	-6	-8	-13	-9	-4	0	6	5	9	-5	6	-15

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Quadratic twists for elliptic curve 76176cg1

-4	-3	-23
9522m1	25392bd1	76176cc1

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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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