Cremona's table of elliptic curves

10850 = 2 · 5² · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 31-	Signs for the Atkin-Lehner involutions
Class	10850v	Isogeny class
Conductor	10850	Conductor
∏ cp	360	Product of Tamagawa factors cp
Δ	1.98800824544E+21	Discriminant
Eigenvalues	2-  2 5+ 7+  0 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-30195563,-63841527719]	[a1,a2,a3,a4,a6]
Generators	[-3181:7542:1]	Generators of the group modulo torsion
j	194864658842816448209641/127232527708160000	j-invariant
L	8.9141789150752	L(r)(E,1)/r!
Ω	0.064406662141266	Real period
R	1.5378289931014	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	86800bx4 97650y4 2170h4 75950ci4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10850v4

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

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Quadratic twists for elliptic curve 10850v4

-4	-3	5	-7
86800bx4	97650y4	2170h4	75950ci4

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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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