Cremona's table of elliptic curves

13950 = 2 · 3² · 5² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31+	Signs for the Atkin-Lehner involutions
Class	13950cv	Isogeny class
Conductor	13950	Conductor
∏ cp	132	Product of Tamagawa factors cp
deg	25344	Modular degree for the optimal curve
Δ	-28926720000 = -1 · 211 · 36 · 54 · 31	Discriminant
Eigenvalues	2- 3- 5- -5 -5 -7 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1280,19747]	[a1,a2,a3,a4,a6]
Generators	[349:-6655:1] [847:43595:343]	Generators of the group modulo torsion
j	-508660425/63488	j-invariant
L	8.2380259412617	L(r)(E,1)/r!
Ω	1.144893837374	Real period
R	0.054510982063585	Regulator
r	2	Rank of the group of rational points
S	0.99999999999994	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	111600gw1 1550e1 13950s1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13950cv1

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
-	-	-	-5	-5	-7	-6	-6	-2	-2	+	5	-9	7	-3	-1	2	-1	-8	-3	-10	12	-7	6	-2

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Quadratic twists for elliptic curve 13950cv1

-4	-3	5
111600gw1	1550e1	13950s1

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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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