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	11330g	Isogeny class
Conductor	11330	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	179200	Modular degree for the optimal curve
Δ	-1683743457044070400 = -1 · 225 · 52 · 117 · 103	Discriminant
Eigenvalues	2+ -2 5- -1 11+ -5  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,133107,59577608]	[a1,a2,a3,a4,a6]
j	260814113169681946679/1683743457044070400	j-invariant
L	0.38574057195498	L(r)(E,1)/r!
Ω	0.19287028597749	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	90640s1 101970bw1 56650q1 124630bc1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11330g1

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	-	-1	+	-5	2	-6	4	5	-1	-1	-2	-1	-1	9	3	-14	-8	9	-11	-13	14	-14	1

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Quadratic twists for elliptic curve 11330g1

-4	-3	5	-11
90640s1	101970bw1	56650q1	124630bc1

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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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