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	3696n	Isogeny class
Conductor	3696	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	103906151129088 = 213 · 34 · 76 · 113	Discriminant
Eigenvalues	2- 3+  0 7+ 11-  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-226128,41461056]	[a1,a2,a3,a4,a6]
Generators	[-70:7546:1]	Generators of the group modulo torsion
j	312196988566716625/25367712678	j-invariant
L	2.9985944629888	L(r)(E,1)/r!
Ω	0.56885607798039	Real period
R	0.87854514204328	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	462g4 14784cc4 11088bf4 92400he4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696n4

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

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Quadratic twists for elliptic curve 3696n4

-4	8	-3	5	-7	-11
462g4	14784cc4	11088bf4	92400he4	25872ct4	40656bq4

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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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