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	3696q	Isogeny class
Conductor	3696	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-2962015322112 = -1 · 216 · 32 · 73 · 114	Discriminant
Eigenvalues	2- 3+  2 7- 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1552,-85568]	[a1,a2,a3,a4,a6]
Generators	[88:672:1]	Generators of the group modulo torsion
j	-100999381393/723148272	j-invariant
L	3.46403535668	L(r)(E,1)/r!
Ω	0.3370669103747	Real period
R	0.85641634990444	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	462f1 14784cq1 11088ca1 92400ga1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696q1

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

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Quadratic twists for elliptic curve 3696q1

-4	8	-3	5	-7	-11
462f1	14784cq1	11088ca1	92400ga1	25872co1	40656bj1

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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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