Cremona's table of elliptic curves

350 = 2 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	350a	Isogeny class
Conductor	350	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1875781250 = 2 · 58 · 74	Discriminant
Eigenvalues	2+  0 5+ 7-  4  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-6692,-209034]	[a1,a2,a3,a4,a6]
j	2121328796049/120050	j-invariant
L	1.0556963012166	L(r)(E,1)/r!
Ω	0.52784815060828	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2800o4 11200p3 3150bm4 70a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 350a3

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
+	0	+	-	4	6	-2	0	0	6	8	10	2	-4	-8	2	-8	-14	12	-16	-2	-8	-8	10	-2

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Quadratic twists for elliptic curve 350a3

-4	8	-3	5	-7	-11	13	17	-19
2800o4	11200p3	3150bm4	70a3	2450e4	42350bu4	59150bd4	101150c4	126350cu4

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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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