Cremona's table of elliptic curves

11550 = 2 · 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	11550bp	Isogeny class
Conductor	11550	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	-138960937500000 = -1 · 25 · 3 · 512 · 72 · 112	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  0 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,7787,-498469]	[a1,a2,a3,a4,a6]
Generators	[145:1852:1]	Generators of the group modulo torsion
j	3342032927351/8893500000	j-invariant
L	5.9813577113034	L(r)(E,1)/r!
Ω	0.29966992764279	Real period
R	0.99799098267098	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	92400gk2 34650bf2 2310e2 80850fq2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bp2

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

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Quadratic twists for elliptic curve 11550bp2

-4	-3	5	-7	-11
92400gk2	34650bf2	2310e2	80850fq2	127050c2

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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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