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	11550bz	Isogeny class
Conductor	11550	Conductor
∏ cp	945	Product of Tamagawa factors cp
deg	453600	Modular degree for the optimal curve
Δ	-1.965125297982E+20	Discriminant
Eigenvalues	2- 3+ 5- 7- 11-  0  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1428763,941202281]	[a1,a2,a3,a4,a6]
Generators	[-1265:27582:1]	Generators of the group modulo torsion
j	-825741822267180625/503072076283392	j-invariant
L	6.1489336471561	L(r)(E,1)/r!
Ω	0.16556139301274	Real period
R	0.039301481908454	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92400hr1 34650bv1 11550v1 80850hf1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bz1

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	0	-6	2	2	-6	-2	4	-11	-3	3	-14	2	-12	-4	3	8	-9	-3	-4

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Quadratic twists for elliptic curve 11550bz1

-4	-3	5	-7	-11
92400hr1	34650bv1	11550v1	80850hf1	127050br1

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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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