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	11550a	Isogeny class
Conductor	11550	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-341800550437500 = -1 · 22 · 32 · 56 · 73 · 116	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+ -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-20575,-1451375]	[a1,a2,a3,a4,a6]
Generators	[220:2065:1]	Generators of the group modulo torsion
j	-61653281712625/21875235228	j-invariant
L	2.5253579635829	L(r)(E,1)/r!
Ω	0.19582039404816	Real period
R	3.2240742541886	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	92400he3 34650cx3 462g3 80850bx3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550a3

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
+	+	+	+	+	-2	0	2	0	-6	2	-2	0	4	6	6	0	2	4	-12	4	8	-6	-6	-2

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Quadratic twists for elliptic curve 11550a3

-4	-3	5	-7	-11
92400he3	34650cx3	462g3	80850bx3	127050fz3

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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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