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	11550cd	Isogeny class
Conductor	11550	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	1097712000 = 27 · 34 · 53 · 7 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-23883,1410681]	[a1,a2,a3,a4,a6]
Generators	[75:182:1]	Generators of the group modulo torsion
j	12052620205076933/8781696	j-invariant
L	5.8003713600299	L(r)(E,1)/r!
Ω	1.2859989217539	Real period
R	0.3221715298463	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	92400hx2 34650cd2 11550bf2 80850hm2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cd2

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

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Quadratic twists for elliptic curve 11550cd2

-4	-3	5	-7	-11
92400hx2	34650cd2	11550bf2	80850hm2	127050by2

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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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