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	4368l	Isogeny class
Conductor	4368	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-2804675328 = -1 · 28 · 33 · 74 · 132	Discriminant
Eigenvalues	2+ 3-  0 7- -2 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-68,-2580]	[a1,a2,a3,a4,a6]
Generators	[22:84:1]	Generators of the group modulo torsion
j	-137842000/10955763	j-invariant
L	4.4057660673696	L(r)(E,1)/r!
Ω	0.63245076138326	Real period
R	0.58051502930883	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	2184a2 17472ci2 13104x2 109200i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368l2

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

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Quadratic twists for elliptic curve 4368l2

-4	8	-3	5	-7	13
2184a2	17472ci2	13104x2	109200i2	30576i2	56784j2

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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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