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	2450y	Isogeny class
Conductor	2450	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-3373232128000000 = -1 · 218 · 56 · 77	Discriminant
Eigenvalues	2- -2 5+ 7-  0 -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-208888,36835392]	[a1,a2,a3,a4,a6]
Generators	[368:-3320:1]	Generators of the group modulo torsion
j	-548347731625/1835008	j-invariant
L	3.3629720129559	L(r)(E,1)/r!
Ω	0.44809782432921	Real period
R	0.20847208840751	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19600cp5 78400cc5 22050bi5 98a5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2450y5

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 2450y5

-4	8	-3	5	-7
19600cp5	78400cc5	22050bi5	98a5	350d5

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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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