Cremona's table of elliptic curves

67600 = 2⁴ · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	67600cs	Isogeny class
Conductor	67600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8.4835994984E+22	Discriminant
Eigenvalues	2-  2 5+  0  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-39784008,-95549993488]	[a1,a2,a3,a4,a6]
Generators	[-191848568103480388356942:-1125016959968743924700866:49760544181701757221]	Generators of the group modulo torsion
j	10260751717/125000	j-invariant
L	9.0019650392742	L(r)(E,1)/r!
Ω	0.060157854721486	Real period
R	37.409765861154	Regulator
r	1	Rank of the group of rational points
S	0.99999999999041	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8450i2 13520bg2 67600ct2	Quadratic twists by: -4 5 13

Hecke Eigenvalues for elliptic curve 67600cs2

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

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Quadratic twists for elliptic curve 67600cs2

-4	5	13
8450i2	13520bg2	67600ct2

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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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