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	4368ba	Isogeny class
Conductor	4368	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-2640802155264 = -1 · 28 · 34 · 73 · 135	Discriminant
Eigenvalues	2- 3- -1 7- -2 13- -4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1981,-85897]	[a1,a2,a3,a4,a6]
Generators	[371:7098:1]	Generators of the group modulo torsion
j	-3360132358144/10315633419	j-invariant
L	4.1946862457067	L(r)(E,1)/r!
Ω	0.33040203142276	Real period
R	0.10579752964501	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	1092b1 17472cc1 13104ci1 109200cw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368ba1

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	-	-2	-	-4	-1	3	3	-5	-8	-10	-1	13	-1	8	-14	-2	-4	-7	-17	9	5	13

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Quadratic twists for elliptic curve 4368ba1

-4	8	-3	5	-7	13
1092b1	17472cc1	13104ci1	109200cw1	30576bq1	56784cm1

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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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