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	950b	Isogeny class
Conductor	950	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-5358593750 = -1 · 2 · 58 · 193	Discriminant
Eigenvalues	2+ -1 5+  1  0  1  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-69500,-7081250]	[a1,a2,a3,a4,a6]
j	-2376117230685121/342950	j-invariant
L	0.88211212330009	L(r)(E,1)/r!
Ω	0.14701868721668	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	7600k2 30400c2 8550bb2 190c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 950b2

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	1	3	-	-3	-3	2	10	6	-2	0	-3	3	8	7	12	13	14	-6	6	10

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Quadratic twists for elliptic curve 950b2

-4	8	-3	5	-7	-11	-19
7600k2	30400c2	8550bb2	190c2	46550h2	114950ch2	18050t2

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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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