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	12	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	7429968 = 24 · 36 · 72 · 13	Discriminant
Eigenvalues	2+ 3-  0 7- -2 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-203,-1176]	[a1,a2,a3,a4,a6]
Generators	[28:126:1]	Generators of the group modulo torsion
j	58107136000/464373	j-invariant
L	4.4057660673696	L(r)(E,1)/r!
Ω	1.2649015227665	Real period
R	1.1610300586177	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	2184a1 17472ci1 13104x1 109200i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368l1

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 4368l1

-4	8	-3	5	-7	13
2184a1	17472ci1	13104x1	109200i1	30576i1	56784j1

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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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