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	11550d	Isogeny class
Conductor	11550	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	41472	Modular degree for the optimal curve
Δ	13752585000000 = 26 · 36 · 57 · 73 · 11	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+  4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-8025,-214875]	[a1,a2,a3,a4,a6]
Generators	[-70:135:1]	Generators of the group modulo torsion
j	3658671062929/880165440	j-invariant
L	2.8316716594465	L(r)(E,1)/r!
Ω	0.51322587075963	Real period
R	1.3793496298498	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	92400hk1 34650dd1 2310u1 80850cc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550d1

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

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Quadratic twists for elliptic curve 11550d1

-4	-3	5	-7	-11
92400hk1	34650dd1	2310u1	80850cc1	127050gg1

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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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