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	11550cr	Isogeny class
Conductor	11550	Conductor
∏ cp	243	Product of Tamagawa factors cp
deg	23328	Modular degree for the optimal curve
Δ	-32598720000 = -1 · 29 · 33 · 54 · 73 · 11	Discriminant
Eigenvalues	2- 3- 5- 7- 11+  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-9638,363492]	[a1,a2,a3,a4,a6]
Generators	[-68:874:1]	Generators of the group modulo torsion
j	-158419003440625/52157952	j-invariant
L	8.3411755396939	L(r)(E,1)/r!
Ω	1.1446655052902	Real period
R	0.26988882426202	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	92400fc1 34650cf1 11550b1 80850ez1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cr1

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	-4	-6	0	-4	-4	-12	-7	3	9	12	-4	14	0	-13	-10	-9	-15	-10

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Quadratic twists for elliptic curve 11550cr1

-4	-3	5	-7	-11
92400fc1	34650cf1	11550b1	80850ez1	127050dx1

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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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