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	11130r	Isogeny class
Conductor	11130	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	112691250 = 2 · 35 · 54 · 7 · 53	Discriminant
Eigenvalues	2+ 3- 5- 7-  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-961633,-363042694]	[a1,a2,a3,a4,a6]
j	98344740391882129199881/112691250	j-invariant
L	3.0491392948165	L(r)(E,1)/r!
Ω	0.15245696474082	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	89040bl4 33390bm4 55650cc4 77910d4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130r3

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

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Quadratic twists for elliptic curve 11130r3

-4	-3	5	-7
89040bl4	33390bm4	55650cc4	77910d4

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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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