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	11550bi	Isogeny class
Conductor	11550	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	30240	Modular degree for the optimal curve
Δ	-12577950000000 = -1 · 27 · 33 · 58 · 7 · 113	Discriminant
Eigenvalues	2+ 3- 5- 7- 11- -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2076,174298]	[a1,a2,a3,a4,a6]
Generators	[-64:246:1]	Generators of the group modulo torsion
j	-2531307865/32199552	j-invariant
L	4.2456276347321	L(r)(E,1)/r!
Ω	0.60339670630923	Real period
R	2.3454042701587	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	92400fa1 34650eh1 11550bn1 80850bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bi1

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	0	2	6	-6	-10	2	0	-1	3	-9	-6	2	-4	-12	11	-4	-9	-9	-16

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Quadratic twists for elliptic curve 11550bi1

-4	-3	5	-7	-11
92400fa1	34650eh1	11550bn1	80850bl1	127050iv1

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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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