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	4368n	Isogeny class
Conductor	4368	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-10794752876544 = -1 · 213 · 3 · 7 · 137	Discriminant
Eigenvalues	2- 3+ -1 7+ -5 13+ -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-58791936,173529697152]	[a1,a2,a3,a4,a6]
j	-5486773802537974663600129/2635437714	j-invariant
L	0.61214056273712	L(r)(E,1)/r!
Ω	0.30607028136856	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	546f2 17472cs2 13104bq2 109200gm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368n2

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
-	+	-1	+	-5	+	-3	1	-3	9	-4	-11	0	5	8	-2	-4	-15	2	12	11	-10	14	6	-14

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Quadratic twists for elliptic curve 4368n2

-4	8	-3	5	-7	13
546f2	17472cs2	13104bq2	109200gm2	30576cu2	56784by2

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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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