Cremona's table of elliptic curves

2800 = 2⁴ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	2800bc	Isogeny class
Conductor	2800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1200500000000 = -1 · 28 · 59 · 74	Discriminant
Eigenvalues	2-  0 5- 7-  0 -4 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1375,56250]	[a1,a2,a3,a4,a6]
j	-574992/2401	j-invariant
L	1.5074279414646	L(r)(E,1)/r!
Ω	0.7537139707323	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	700e2 11200db2 25200fj2 2800x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2800bc2

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

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Quadratic twists for elliptic curve 2800bc2

-4	8	-3	5	-7
700e2	11200db2	25200fj2	2800x2	19600dl2

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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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