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	950d	Isogeny class
Conductor	950	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-14843750 = -1 · 2 · 58 · 19	Discriminant
Eigenvalues	2-  1 5+  1  0  3  7 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,37,167]	[a1,a2,a3,a4,a6]
j	357911/950	j-invariant
L	3.1082948375637	L(r)(E,1)/r!
Ω	1.5541474187819	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	7600o1 30400k1 8550d1 190b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 950d1

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	3	7	+	5	-5	10	-2	2	-6	0	-9	-7	-4	-7	0	9	-10	2	-10	18

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Quadratic twists for elliptic curve 950d1

-4	8	-3	5	-7	-11	-19
7600o1	30400k1	8550d1	190b1	46550ck1	114950ba1	18050h1

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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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