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	950a	Isogeny class
Conductor	950	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-77378093750 = -1 · 2 · 56 · 195	Discriminant
Eigenvalues	2+  1 5+ -3  2  1 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1751,-31352]	[a1,a2,a3,a4,a6]
Generators	[52:111:1]	Generators of the group modulo torsion
j	-37966934881/4952198	j-invariant
L	2.0016845509098	L(r)(E,1)/r!
Ω	0.36637778515621	Real period
R	2.7317220530392	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	7600p2 30400l2 8550z2 38b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 950a2

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	+	-3	2	1	-3	+	1	-5	-8	2	-8	-4	-8	1	15	2	-3	2	-9	-10	6	0	2

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Quadratic twists for elliptic curve 950a2

-4	8	-3	5	-7	-11	-19
7600p2	30400l2	8550z2	38b2	46550v2	114950ct2	18050u2

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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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