Cremona's table of elliptic curves

4368 = 2⁴ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	4368v	Isogeny class
Conductor	4368	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	209664 = 28 · 32 · 7 · 13	Discriminant
Eigenvalues	2- 3- -2 7+  0 13+  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-484,-4264]	[a1,a2,a3,a4,a6]
Generators	[8286:40463:216]	Generators of the group modulo torsion
j	49081386832/819	j-invariant
L	3.8281115161356	L(r)(E,1)/r!
Ω	1.0176862331623	Real period
R	7.5231665544702	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	1092d2 17472bv2 13104bs2 109200dw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368v2

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	+	0	+	4	0	6	-6	-8	-2	-10	12	-6	-14	10	14	4	12	-6	-8	-6	-14	-18

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Quadratic twists for elliptic curve 4368v2

-4	8	-3	5	-7	13
1092d2	17472bv2	13104bs2	109200dw2	30576cd2	56784cz2

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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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