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	76176bz	Isogeny class
Conductor	76176	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	423936	Modular degree for the optimal curve
Δ	-14614709317081344 = -1 · 28 · 36 · 238	Discriminant
Eigenvalues	2- 3- -1 -2 -4  1  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-109503,-15111414]	[a1,a2,a3,a4,a6]
j	-9936	j-invariant
L	0.26095955107027	L(r)(E,1)/r!
Ω	0.13047977438419	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19044i1 8464k1 76176bv1	Quadratic twists by: -4 -3 -23

Hecke Eigenvalues for elliptic curve 76176bz1

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
-	-	-1	-2	-4	1	2	2	-	-5	6	-10	9	-10	-12	-5	6	1	-8	-6	-9	-12	-10	-15	15

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Quadratic twists for elliptic curve 76176bz1

-4	-3	-23
19044i1	8464k1	76176bv1

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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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