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	3696o	Isogeny class
Conductor	3696	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-21913584 = -1 · 24 · 3 · 73 · 113	Discriminant
Eigenvalues	2- 3+  3 7+ 11- -1  0 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-54,291]	[a1,a2,a3,a4,a6]
Generators	[5:11:1]	Generators of the group modulo torsion
j	-1108671232/1369599	j-invariant
L	3.5370588442336	L(r)(E,1)/r!
Ω	1.9415900266249	Real period
R	0.60724437114772	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	924g2 14784ce2 11088bi2 92400hb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696o2

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	+	-	-1	0	-5	-6	-3	4	-7	-12	-2	-3	6	-3	2	1	-12	-7	4	0	6	2

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Quadratic twists for elliptic curve 3696o2

-4	8	-3	5	-7	-11
924g2	14784ce2	11088bi2	92400hb2	25872da2	40656bv2

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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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