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	11330i	Isogeny class
Conductor	11330	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-885156250 = -1 · 2 · 58 · 11 · 103	Discriminant
Eigenvalues	2-  2 5- -3 11+ -1  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-265,-2303]	[a1,a2,a3,a4,a6]
Generators	[206:643:8]	Generators of the group modulo torsion
j	-2058561081361/885156250	j-invariant
L	9.0715642167127	L(r)(E,1)/r!
Ω	0.57948888216928	Real period
R	1.9568029033521	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	90640u1 101970s1 56650d1 124630i1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11330i1

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

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Quadratic twists for elliptic curve 11330i1

-4	-3	5	-11
90640u1	101970s1	56650d1	124630i1

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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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