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	13950k	Isogeny class
Conductor	13950	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-37830726000 = -1 · 24 · 39 · 53 · 312	Discriminant
Eigenvalues	2+ 3+ 5-  2  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-5577,161981]	[a1,a2,a3,a4,a6]
Generators	[38:43:1]	Generators of the group modulo torsion
j	-7797729087/15376	j-invariant
L	3.929278693584	L(r)(E,1)/r!
Ω	1.1550315049742	Real period
R	0.85047002541976	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	111600dg1 13950ca1 13950cb1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13950k1

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	4	-2	-6	4	0	-2	-	-2	0	-4	0	-2	-14	10	-2	6	6	-4	-12	-6	-12

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Quadratic twists for elliptic curve 13950k1

-4	-3	5
111600dg1	13950ca1	13950cb1

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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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