Cremona's table of elliptic curves

2450 = 2 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	2450h	Isogeny class
Conductor	2450	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10080	Modular degree for the optimal curve
Δ	-176547030625000 = -1 · 23 · 57 · 710	Discriminant
Eigenvalues	2+ -2 5+ 7-  3  5  6  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1251,639398]	[a1,a2,a3,a4,a6]
j	-49/40	j-invariant
L	0.92209288381052	L(r)(E,1)/r!
Ω	0.46104644190526	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	19600ct1 78400cj1 22050ej1 490i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2450h1

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	+	-	3	5	6	1	-3	-6	4	-11	-3	10	3	-3	0	4	4	12	-4	-10	-12	-6	14

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Quadratic twists for elliptic curve 2450h1

-4	8	-3	5	-7
19600ct1	78400cj1	22050ej1	490i1	2450b1

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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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