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	360	Product of Tamagawa factors cp
Δ	28059286500000 = 25 · 32 · 56 · 76 · 53	Discriminant
Eigenvalues	2- 3+ 5- 7- -2 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-11725,412067]	[a1,a2,a3,a4,a6]
Generators	[-103:786:1]	Generators of the group modulo torsion
j	178264383385208401/28059286500000	j-invariant
L	6.2774678374455	L(r)(E,1)/r!
Ω	0.63653314393973	Real period
R	0.10957739326279	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	89040cn2 33390l2 55650t2 77910ci2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130ba2

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 11130ba2

-4	-3	5	-7
89040cn2	33390l2	55650t2	77910ci2

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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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