Cremona's table of elliptic curves

39200 = 2⁵ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	39200bv	Isogeny class
Conductor	39200	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1548288	Modular degree for the optimal curve
Δ	-7.75112083256E+20	Discriminant
Eigenvalues	2-  1 5+ 7-  5  5 -5  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1819533,1638501563]	[a1,a2,a3,a4,a6]
Generators	[16438:2100875:1]	Generators of the group modulo torsion
j	-88478050816/102942875	j-invariant
L	7.2659949360076	L(r)(E,1)/r!
Ω	0.14453011960546	Real period
R	1.5710382193694	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39200ca1 78400hz1 7840e1 5600t1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 39200bv1

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	5	-5	0	-8	-1	-2	-4	-2	-4	13	8	-4	2	8	-12	-6	11	8	18	-5

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Quadratic twists for elliptic curve 39200bv1

-4	8	5	-7
39200ca1	78400hz1	7840e1	5600t1

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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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