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	3696l	Isogeny class
Conductor	3696	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-4024944 = -1 · 24 · 33 · 7 · 113	Discriminant
Eigenvalues	2+ 3- -1 7+ 11- -3  4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-236,1323]	[a1,a2,a3,a4,a6]
Generators	[1:33:1]	Generators of the group modulo torsion
j	-91238612224/251559	j-invariant
L	3.8799869544349	L(r)(E,1)/r!
Ω	2.4807936505649	Real period
R	0.1737789281691	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	1848a1 14784bq1 11088j1 92400ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696l1

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	+	-	-3	4	-1	-2	-1	-4	-3	4	-2	-5	2	-9	-2	3	-12	7	8	-12	-2	10

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Quadratic twists for elliptic curve 3696l1

-4	8	-3	5	-7	-11
1848a1	14784bq1	11088j1	92400ba1	25872j1	40656z1

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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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