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	11130ba	Isogeny class
Conductor	11130	Conductor
∏ cp	180	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	369979008000 = 210 · 3 · 53 · 73 · 532	Discriminant
Eigenvalues	2- 3+ 5- 7- -2 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3245,-66205]	[a1,a2,a3,a4,a6]
Generators	[-37:88:1]	Generators of the group modulo torsion
j	3778993806976081/369979008000	j-invariant
L	6.2774678374455	L(r)(E,1)/r!
Ω	0.63653314393973	Real period
R	0.21915478652558	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	89040cn1 33390l1 55650t1 77910ci1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130ba1

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	-2	2	0	-4	-8	-2	8	-2	-10	12	-	0	-14	8	-6	-6	0	-16	-14	-14

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Quadratic twists for elliptic curve 11130ba1

-4	-3	5	-7
89040cn1	33390l1	55650t1	77910ci1

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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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