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	350d	Isogeny class
Conductor	350	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-28672000000 = -1 · 218 · 56 · 7	Discriminant
Eigenvalues	2-  2 5+ 7+  0  4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4263,-109219]	[a1,a2,a3,a4,a6]
j	-548347731625/1835008	j-invariant
L	2.6582491802628	L(r)(E,1)/r!
Ω	0.2953610200292	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	2800v5 11200j5 3150l5 14a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 350d5

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

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Quadratic twists for elliptic curve 350d5

-4	8	-3	5	-7	-11	13	17	-19
2800v5	11200j5	3150l5	14a3	2450y5	42350bb5	59150o5	101150cl5	126350q5

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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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