Cremona's table of elliptic curves

116800 = 2⁶ · 5² · 73

Field	Data	Notes
Atkin-Lehner	2- 5+ 73+	Signs for the Atkin-Lehner involutions
Class	116800bw	Isogeny class
Conductor	116800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	15934136320000000 = 219 · 57 · 733	Discriminant
Eigenvalues	2- -1 5+  5  3 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-584033,171879937]	[a1,a2,a3,a4,a6]
j	5378691911761/3890170	j-invariant
L	3.1091147662965	L(r)(E,1)/r!
Ω	0.38863932067058	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	116800e2 29200l2 23360t2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 116800bw2

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	+	5	3	-4	6	-4	6	9	-2	-7	9	-2	9	-12	9	4	7	3	+	1	-12	-15	-2

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Quadratic twists for elliptic curve 116800bw2

-4	8	5
116800e2	29200l2	23360t2

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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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