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	5950o	Isogeny class
Conductor	5950	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-12500206250000000 = -1 · 27 · 511 · 76 · 17	Discriminant
Eigenvalues	2- -1 5+ 7- -2  3 17+  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,13062,-5342969]	[a1,a2,a3,a4,a6]
Generators	[275:4237:1]	Generators of the group modulo torsion
j	15773593568039/800013200000	j-invariant
L	4.9726845291775	L(r)(E,1)/r!
Ω	0.1915113832686	Real period
R	0.15455641418537	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	47600p1 53550bw1 1190b1 41650ca1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5950o1

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	3	+	1	2	-9	-11	6	2	-8	-7	-5	9	-1	16	-13	5	4	-2	-3	-1

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Quadratic twists for elliptic curve 5950o1

-4	-3	5	-7	17
47600p1	53550bw1	1190b1	41650ca1	101150br1

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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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