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	11330h	Isogeny class
Conductor	11330	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-24926000 = -1 · 24 · 53 · 112 · 103	Discriminant
Eigenvalues	2- -1 5+  0 11+  0  6  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,64,-111]	[a1,a2,a3,a4,a6]
Generators	[3:9:1]	Generators of the group modulo torsion
j	28962726911/24926000	j-invariant
L	5.1799363818309	L(r)(E,1)/r!
Ω	1.1708030386692	Real period
R	0.55303242846454	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	90640m1 101970bc1 56650a1 124630c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11330h1

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	+	0	+	0	6	1	-2	-7	6	-10	5	-1	-3	1	-3	-3	-5	0	11	3	0	12	8

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Quadratic twists for elliptic curve 11330h1

-4	-3	5	-11
90640m1	101970bc1	56650a1	124630c1

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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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