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	11330j	Isogeny class
Conductor	11330	Conductor
∏ cp	68	Product of Tamagawa factors cp
deg	15232	Modular degree for the optimal curve
Δ	-92815360000 = -1 · 217 · 54 · 11 · 103	Discriminant
Eigenvalues	2- -2 5- -3 11+  3  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-805,17025]	[a1,a2,a3,a4,a6]
Generators	[50:-345:1]	Generators of the group modulo torsion
j	-57695915808721/92815360000	j-invariant
L	4.6112070919857	L(r)(E,1)/r!
Ω	0.95983921247855	Real period
R	0.070649196363506	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	90640t1 101970t1 56650c1 124630j1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11330j1

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	-	-3	+	3	0	0	6	-9	-3	5	-12	9	-9	-9	9	-2	-6	15	9	-1	8	16	-13

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Quadratic twists for elliptic curve 11330j1

-4	-3	5	-11
90640t1	101970t1	56650c1	124630j1

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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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