Cremona's table of elliptic curves

11130 = 2 · 3 · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 53-	Signs for the Atkin-Lehner involutions
Class	11130w	Isogeny class
Conductor	11130	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	8324527680 = 26 · 33 · 5 · 73 · 532	Discriminant
Eigenvalues	2- 3+ 5+ 7+  2 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1106,-13921]	[a1,a2,a3,a4,a6]
Generators	[-19:35:1]	Generators of the group modulo torsion
j	149628263143969/8324527680	j-invariant
L	5.1498886615797	L(r)(E,1)/r!
Ω	0.83073475151171	Real period
R	2.0663991132381	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89040ck1 33390r1 55650bc1 77910ct1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130w1

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	-6	2	-4	4	0	6	8	-6	6	-12	-	-4	-2	0	6	-2	-12	0	-6	6

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Quadratic twists for elliptic curve 11130w1

-4	-3	5	-7
89040ck1	33390r1	55650bc1	77910ct1

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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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