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	2450j	Isogeny class
Conductor	2450	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-980000000000000 = -1 · 214 · 513 · 72	Discriminant
Eigenvalues	2+  3 5+ 7- -2  0 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,22958,684116]	[a1,a2,a3,a4,a6]
j	1747829720511/1280000000	j-invariant
L	2.5210897371695	L(r)(E,1)/r!
Ω	0.31513621714618	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	19600db2 78400dk2 22050eb2 490k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2450j2

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
+	3	+	-	-2	0	-4	6	-3	9	4	4	7	5	8	2	-10	-1	9	2	-4	10	-7	-1	14

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Quadratic twists for elliptic curve 2450j2

-4	8	-3	5	-7
19600db2	78400dk2	22050eb2	490k2	2450c2

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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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