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	4368u	Isogeny class
Conductor	4368	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-152845056 = -1 · 28 · 38 · 7 · 13	Discriminant
Eigenvalues	2- 3-  1 7+  6 13+ -8 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-365,2631]	[a1,a2,a3,a4,a6]
Generators	[19:54:1]	Generators of the group modulo torsion
j	-21064523776/597051	j-invariant
L	4.6121053334576	L(r)(E,1)/r!
Ω	1.8204231102632	Real period
R	0.15834592612891	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	1092c1 17472bu1 13104br1 109200ee1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368u1

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	+	6	+	-8	-3	-9	-9	1	-8	2	-9	3	-5	-8	-10	10	12	3	7	15	-5	15

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Quadratic twists for elliptic curve 4368u1

-4	8	-3	5	-7	13
1092c1	17472bu1	13104br1	109200ee1	30576cc1	56784cx1

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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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