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	11900a	Isogeny class
Conductor	11900	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	32400	Modular degree for the optimal curve
Δ	-15488593750000 = -1 · 24 · 510 · 73 · 172	Discriminant
Eigenvalues	2-  2 5+ 7+ -3  4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13958,667037]	[a1,a2,a3,a4,a6]
Generators	[31:513:1]	Generators of the group modulo torsion
j	-1924883200/99127	j-invariant
L	6.2732782651411	L(r)(E,1)/r!
Ω	0.69076852790628	Real period
R	4.5407962376018	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	47600bd1 107100w1 11900i1 83300o1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11900a1

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 11900a1

-4	-3	5	-7
47600bd1	107100w1	11900i1	83300o1

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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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