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	11550k	Isogeny class
Conductor	11550	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	74280937500000 = 25 · 32 · 510 · 74 · 11	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-264000025,-1651136586875]	[a1,a2,a3,a4,a6]
Generators	[80073903495:-6061911924077:3723875]	Generators of the group modulo torsion
j	130231365028993807856757649/4753980000	j-invariant
L	3.0599713535341	L(r)(E,1)/r!
Ω	0.037454030728811	Real period
R	20.424846765426	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	92400ge4 34650dk4 2310r3 80850cn4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550k3

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	-6	8	0	-2	-4	2	-2	-4	4	-14	4	14	-12	-8	2	-8	-16	2	-2

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Quadratic twists for elliptic curve 11550k3

-4	-3	5	-7	-11
92400ge4	34650dk4	2310r3	80850cn4	127050fo4

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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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