Cremona's table of elliptic curves

5950 = 2 · 5² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 17+	Signs for the Atkin-Lehner involutions
Class	5950a	Isogeny class
Conductor	5950	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	127891531250 = 2 · 56 · 72 · 174	Discriminant
Eigenvalues	2+  0 5+ 7+  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-13217,-581309]	[a1,a2,a3,a4,a6]
Generators	[-65:34:1]	Generators of the group modulo torsion
j	16342588257633/8185058	j-invariant
L	2.7168041682501	L(r)(E,1)/r!
Ω	0.44527452276813	Real period
R	3.0507069564194	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	47600w4 53550dp4 238c3 41650p4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5950a3

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	+	+	0	2	+	4	0	-6	0	6	-6	12	-8	2	4	2	-12	0	-2	-8	-12	10	14

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Quadratic twists for elliptic curve 5950a3

-4	-3	5	-7	17
47600w4	53550dp4	238c3	41650p4	101150o4

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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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