Cremona's table of elliptic curves

11330 = 2 · 5 · 11 · 103

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11- 103-	Signs for the Atkin-Lehner involutions
Class	11330d	Isogeny class
Conductor	11330	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4320	Modular degree for the optimal curve
Δ	-116699000 = -1 · 23 · 53 · 11 · 1032	Discriminant
Eigenvalues	2+ -1 5+ -1 11- -2 -1 -3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-498,4108]	[a1,a2,a3,a4,a6]
Generators	[3:50:1]	Generators of the group modulo torsion
j	-13701674594089/116699000	j-invariant
L	2.0210116476348	L(r)(E,1)/r!
Ω	1.8772021154025	Real period
R	0.53830422175971	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	90640g1 101970cg1 56650r1 124630u1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11330d1

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	+	-1	-	-2	-1	-3	-6	-1	9	-3	-4	4	12	9	10	-11	12	3	10	-16	-4	3	18

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Quadratic twists for elliptic curve 11330d1

-4	-3	5	-11
90640g1	101970cg1	56650r1	124630u1

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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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