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	11550z	Isogeny class
Conductor	11550	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	1801684139062500 = 22 · 34 · 58 · 76 · 112	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-53026,4228448]	[a1,a2,a3,a4,a6]
Generators	[-53:2651:1]	Generators of the group modulo torsion
j	1055257664218129/115307784900	j-invariant
L	4.1950897007621	L(r)(E,1)/r!
Ω	0.45556391234529	Real period
R	0.38369019024917	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	92400dw2 34650dp2 2310m2 80850i2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550z2

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	-2	4	4	-6	0	-2	6	-12	-8	6	8	-14	-12	8	-10	4	-16	10	-6

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Quadratic twists for elliptic curve 11550z2

-4	-3	5	-7	-11
92400dw2	34650dp2	2310m2	80850i2	127050hg2

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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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