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	3950h	Isogeny class
Conductor	3950	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	323584000000 = 218 · 56 · 79	Discriminant
Eigenvalues	2- -1 5+  1  0 -5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-130413,-18181469]	[a1,a2,a3,a4,a6]
Generators	[-209:108:1]	Generators of the group modulo torsion
j	15698803397448457/20709376	j-invariant
L	4.4337853511621	L(r)(E,1)/r!
Ω	0.25122875742786	Real period
R	0.9804666110671	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	31600g3 126400q3 35550o3 158d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3950h3

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	+	1	0	-5	0	2	6	0	-4	-2	-12	-8	9	-6	-9	8	4	-9	-2	-	-18	9	-17

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Quadratic twists for elliptic curve 3950h3

-4	8	-3	5
31600g3	126400q3	35550o3	158d2

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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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