Cremona's table of elliptic curves

11900 = 2² · 5² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 17+	Signs for the Atkin-Lehner involutions
Class	11900i	Isogeny class
Conductor	11900	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	6480	Modular degree for the optimal curve
Δ	-991270000 = -1 · 24 · 54 · 73 · 172	Discriminant
Eigenvalues	2- -2 5- 7- -3 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-558,5113]	[a1,a2,a3,a4,a6]
Generators	[-27:35:1] [-22:85:1]	Generators of the group modulo torsion
j	-1924883200/99127	j-invariant
L	4.7896677433574	L(r)(E,1)/r!
Ω	1.5446053851159	Real period
R	0.51681676428074	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	47600bj1 107100cp1 11900a1 83300bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11900i1

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	-	-	-3	-4	+	-4	-9	-9	-4	-1	-12	-1	-6	-6	0	8	5	-3	2	-1	-12	-18	8

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Quadratic twists for elliptic curve 11900i1

-4	-3	5	-7
47600bj1	107100cp1	11900a1	83300bl1

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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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