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	2	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-37109375000 = -1 · 23 · 512 · 19	Discriminant
Eigenvalues	2+ -1 5+  1  0  1  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-750,-12500]	[a1,a2,a3,a4,a6]
j	-2992209121/2375000	j-invariant
L	0.88211212330009	L(r)(E,1)/r!
Ω	0.44105606165005	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	7600k1 30400c1 8550bb1 190c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 950b1

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 950b1

-4	8	-3	5	-7	-11	-19
7600k1	30400c1	8550bb1	190c1	46550h1	114950ch1	18050t1

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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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