Cremona's table of elliptic curves

28900 = 2² · 5² · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Class	28900i	Isogeny class
Conductor	28900	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	103680	Modular degree for the optimal curve
Δ	-41033867300000000 = -1 · 28 · 58 · 177	Discriminant
Eigenvalues	2- -1 5-  1  0 -1 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,84292,-2530088]	[a1,a2,a3,a4,a6]
Generators	[1026:34102:1]	Generators of the group modulo torsion
j	27440/17	j-invariant
L	4.1595346315505	L(r)(E,1)/r!
Ω	0.20915546312381	Real period
R	3.3145477606516	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	115600co1 28900c1 1700c1	Quadratic twists by: -4 5 17

Hecke Eigenvalues for elliptic curve 28900i1

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
-	-1	-	1	0	-1	+	-4	0	6	1	-2	0	2	-6	3	-6	10	-4	3	-2	1	12	-6	-8

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Quadratic twists for elliptic curve 28900i1

-4	5	17
115600co1	28900c1	1700c1

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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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