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	2800o	Isogeny class
Conductor	2800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7683200000000 = 213 · 58 · 74	Discriminant
Eigenvalues	2-  0 5+ 7+ -4  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-107075,13485250]	[a1,a2,a3,a4,a6]
j	2121328796049/120050	j-invariant
L	1.4018989853723	L(r)(E,1)/r!
Ω	0.70094949268616	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	350a3 11200bu4 25200dy4 560d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2800o4

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	+	+	-4	6	-2	0	0	6	-8	10	2	4	8	2	8	-14	-12	16	-2	8	8	10	-2

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Quadratic twists for elliptic curve 2800o4

-4	8	-3	5	-7
350a3	11200bu4	25200dy4	560d4	19600cc3

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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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