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	5950f	Isogeny class
Conductor	5950	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	52062500 = 22 · 56 · 72 · 17	Discriminant
Eigenvalues	2+ -2 5+ 7- -2  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-451,-3702]	[a1,a2,a3,a4,a6]
Generators	[-12:9:1]	Generators of the group modulo torsion
j	647214625/3332	j-invariant
L	2.0099297376224	L(r)(E,1)/r!
Ω	1.0365862047374	Real period
R	0.96949473591127	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	47600u1 53550dv1 238d1 41650l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5950f1

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

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Quadratic twists for elliptic curve 5950f1

-4	-3	5	-7	17
47600u1	53550dv1	238d1	41650l1	101150g1

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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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