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	13950a	Isogeny class
Conductor	13950	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	112320	Modular degree for the optimal curve
Δ	-381358125000000 = -1 · 26 · 39 · 510 · 31	Discriminant
Eigenvalues	2+ 3+ 5+  0  2 -6  7 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-262617,51874541]	[a1,a2,a3,a4,a6]
Generators	[298:-41:1]	Generators of the group modulo torsion
j	-10420818075/1984	j-invariant
L	3.4087898264925	L(r)(E,1)/r!
Ω	0.51939306992331	Real period
R	1.640756309569	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	111600cq1 13950br1 13950bz1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13950a1

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
+	+	+	0	2	-6	7	-4	-2	-7	+	8	0	1	3	10	-4	6	8	-9	12	11	0	-9	-7

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Quadratic twists for elliptic curve 13950a1

-4	-3	5
111600cq1	13950br1	13950bz1

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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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