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	11550k	Isogeny class
Conductor	11550	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	3001556250000000000 = 210 · 34 · 514 · 72 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16500025,-25804086875]	[a1,a2,a3,a4,a6]
Generators	[1061945:83067053:125]	Generators of the group modulo torsion
j	31794905164720991157649/192099600000000	j-invariant
L	3.0599713535341	L(r)(E,1)/r!
Ω	0.074908061457623	Real period
R	10.212423382713	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	92400ge2 34650dk2 2310r2 80850cn2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550k2

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	-6	8	0	-2	-4	2	-2	-4	4	-14	4	14	-12	-8	2	-8	-16	2	-2

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Quadratic twists for elliptic curve 11550k2

-4	-3	5	-7	-11
92400ge2	34650dk2	2310r2	80850cn2	127050fo2

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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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