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	11130y	Isogeny class
Conductor	11130	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	845445753690649440 = 25 · 3 · 5 · 716 · 53	Discriminant
Eigenvalues	2- 3+ 5- 7+  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-255780,22742085]	[a1,a2,a3,a4,a6]
j	1850646913912482477121/845445753690649440	j-invariant
L	2.5236198371635	L(r)(E,1)/r!
Ω	0.25236198371635	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89040ct3 33390j3 55650ba3 77910cf3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130y4

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
-	+	-	+	0	-2	-2	0	0	-6	0	6	10	-4	-4	-	0	2	-4	0	14	8	12	2	18

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Quadratic twists for elliptic curve 11130y4

-4	-3	5	-7
89040ct3	33390j3	55650ba3	77910cf3

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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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