Cremona's table of elliptic curves

3950 = 2 · 5² · 79

Field	Data	Notes
Atkin-Lehner	2- 5- 79+	Signs for the Atkin-Lehner involutions
Class	3950i	Isogeny class
Conductor	3950	Conductor
∏ cp	38	Product of Tamagawa factors cp
deg	8664	Modular degree for the optimal curve
Δ	-2045050880000 = -1 · 219 · 54 · 792	Discriminant
Eigenvalues	2-  1 5- -2 -1  2 -1 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-27463,-1755383]	[a1,a2,a3,a4,a6]
Generators	[246:2405:1]	Generators of the group modulo torsion
j	-3665123505412225/3272081408	j-invariant
L	5.6641698209808	L(r)(E,1)/r!
Ω	0.18542113377161	Real period
R	0.80388409627419	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	31600y1 126400bb1 35550t1 3950b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3950i1

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
-	1	-	-2	-1	2	-1	-1	-6	-6	-2	-10	7	8	8	-12	-4	-10	-11	-6	11	+	9	15	14

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Quadratic twists for elliptic curve 3950i1

-4	8	-3	5
31600y1	126400bb1	35550t1	3950b1

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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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