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	3696a	Isogeny class
Conductor	3696	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-132024816 = -1 · 24 · 37 · 73 · 11	Discriminant
Eigenvalues	2+ 3+ -3 7+ 11+ -3  4  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12,-549]	[a1,a2,a3,a4,a6]
Generators	[11:23:1]	Generators of the group modulo torsion
j	-12967168/8251551	j-invariant
L	2.3335153302248	L(r)(E,1)/r!
Ω	0.83183215398773	Real period
R	2.805271855672	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1848l1 14784cg1 11088r1 92400cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696a1

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
+	+	-3	+	+	-3	4	7	2	-3	0	-11	8	2	9	10	5	-10	3	-8	-9	4	4	-14	-2

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Quadratic twists for elliptic curve 3696a1

-4	8	-3	5	-7	-11
1848l1	14784cg1	11088r1	92400cj1	25872r1	40656u1

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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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