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	3950a	Isogeny class
Conductor	3950	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	769264099750000 = 24 · 56 · 795	Discriminant
Eigenvalues	2+  1 5+ -3  2  1  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-584501,-172042352]	[a1,a2,a3,a4,a6]
Generators	[-588379:385146:1331]	Generators of the group modulo torsion
j	1413378216646643521/49232902384	j-invariant
L	2.8954358096292	L(r)(E,1)/r!
Ω	0.17266496969779	Real period
R	8.384549033591	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	31600o2 126400h2 35550bu2 158c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3950a2

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	+	-3	2	1	2	0	6	-10	2	2	2	-4	-3	-4	5	12	-8	-13	6	+	6	-15	-13

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Quadratic twists for elliptic curve 3950a2

-4	8	-3	5
31600o2	126400h2	35550bu2	158c2

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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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