Cremona's table of elliptic curves

950 = 2 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	950c	Isogeny class
Conductor	950	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-15200000000 = -1 · 211 · 58 · 19	Discriminant
Eigenvalues	2+  3 5+  5 -4  1  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1192,17216]	[a1,a2,a3,a4,a6]
j	-11993263569/972800	j-invariant
L	2.4396504052502	L(r)(E,1)/r!
Ω	1.2198252026251	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7600n1 30400h1 8550bi1 190a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 950c1

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
+	3	+	5	-4	1	3	-	-7	-3	-2	2	-6	-6	0	13	-9	-12	3	0	-11	-2	10	2	2

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Quadratic twists for elliptic curve 950c1

-4	8	-3	5	-7	-11	-19
7600n1	30400h1	8550bi1	190a1	46550q1	114950cn1	18050v1

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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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