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	39200g	Isogeny class
Conductor	39200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-11299009960000000 = -1 · 29 · 57 · 710	Discriminant
Eigenvalues	2+  0 5+ 7- -4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,45325,3515750]	[a1,a2,a3,a4,a6]
j	10941048/12005	j-invariant
L	1.0717672344915	L(r)(E,1)/r!
Ω	0.26794180863315	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	39200bq2 78400t3 7840w4 5600e4	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 39200g2

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	2	6	-4	-8	6	0	-10	-10	12	0	6	12	-2	4	12	-10	4	0	-18	-10

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Quadratic twists for elliptic curve 39200g2

-4	8	5	-7
39200bq2	78400t3	7840w4	5600e4

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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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