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	3696i	Isogeny class
Conductor	3696	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	8351171155084843008 = 211 · 312 · 78 · 113	Discriminant
Eigenvalues	2+ 3-  2 7+ 11+ -6 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-640232,139597332]	[a1,a2,a3,a4,a6]
j	14171198121996897746/4077720290568771	j-invariant
L	2.5970675467698	L(r)(E,1)/r!
Ω	0.21642229556415	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1848b3 14784bv3 11088p3 92400t4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3696i3

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

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Quadratic twists for elliptic curve 3696i3

-4	8	-3	5	-7	-11
1848b3	14784bv3	11088p3	92400t4	25872f4	40656ba4

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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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