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	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-43750000 = -1 · 24 · 58 · 7	Discriminant
Eigenvalues	2+  0 5+ 7-  4  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,58,-284]	[a1,a2,a3,a4,a6]
j	1367631/2800	j-invariant
L	1.0556963012166	L(r)(E,1)/r!
Ω	1.0556963012166	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	2800o1 11200p1 3150bm1 70a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 350a1

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 350a1

-4	8	-3	5	-7	-11	13	17	-19
2800o1	11200p1	3150bm1	70a1	2450e1	42350bu1	59150bd1	101150c1	126350cu1

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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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