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
Δ	-127157942871093750 = -1 · 2 · 3 · 512 · 72 · 116	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+  4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-605775,-182536125]	[a1,a2,a3,a4,a6]
Generators	[1816705:-53069290:1331]	Generators of the group modulo torsion
j	-1573398910560073969/8138108343750	j-invariant
L	2.8316716594465	L(r)(E,1)/r!
Ω	0.085537645126604	Real period
R	8.2760977790988	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	92400hk4 34650dd4 2310u4 80850cc4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550d4

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 11550d4

-4	-3	5	-7	-11
92400hk4	34650dd4	2310u4	80850cc4	127050gg4

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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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