Cremona's table of elliptic curves

3696 = 2⁴ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	3696x	Isogeny class
Conductor	3696	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-25066972643328 = -1 · 226 · 32 · 73 · 112	Discriminant
Eigenvalues	2- 3- -4 7+ 11- -6 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6480,-315756]	[a1,a2,a3,a4,a6]
j	-7347774183121/6119866368	j-invariant
L	1.0279470238879	L(r)(E,1)/r!
Ω	0.25698675597197	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	462e1 14784bs1 11088bk1 92400eu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696x1

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
-	-	-4	+	-	-6	-4	2	8	-6	-6	-6	12	-4	-6	2	0	10	-4	12	0	16	14	-14	-14

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Quadratic twists for elliptic curve 3696x1

-4	8	-3	5	-7	-11
462e1	14784bs1	11088bk1	92400eu1	25872cb1	40656dp1

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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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