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	11550bp	Isogeny class
Conductor	11550	Conductor
∏ cp	80	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	1386000000000 = 210 · 32 · 59 · 7 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  0 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4213,-90469]	[a1,a2,a3,a4,a6]
Generators	[-35:142:1]	Generators of the group modulo torsion
j	529278808969/88704000	j-invariant
L	5.9813577113034	L(r)(E,1)/r!
Ω	0.59933985528558	Real period
R	0.49899549133549	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	92400gk1 34650bf1 2310e1 80850fq1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bp1

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	-4	0	-2	6	-8	8	2	4	-12	-14	0	10	-2	-8	-6	8	8	-12	-6

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Quadratic twists for elliptic curve 11550bp1

-4	-3	5	-7	-11
92400gk1	34650bf1	2310e1	80850fq1	127050c1

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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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