Cremona's table of elliptic curves

11368 = 2³ · 7² · 29

Field	Data	Notes
Atkin-Lehner	2- 7- 29+	Signs for the Atkin-Lehner involutions
Class	11368l	Isogeny class
Conductor	11368	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-8687970172672 = -1 · 28 · 79 · 292	Discriminant
Eigenvalues	2-  2  2 7-  0 -2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,3708,-113308]	[a1,a2,a3,a4,a6]
Generators	[188:2682:1]	Generators of the group modulo torsion
j	187153328/288463	j-invariant
L	7.0445942825447	L(r)(E,1)/r!
Ω	0.38763055135348	Real period
R	4.5433688456361	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	22736m1 90944ch1 102312r1 1624d1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11368l1

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
-	2	2	-	0	-2	0	-6	-8	+	-6	10	12	4	-6	-10	8	12	-12	0	16	-8	-12	0	-8

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Quadratic twists for elliptic curve 11368l1

-4	8	-3	-7
22736m1	90944ch1	102312r1	1624d1

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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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