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	67600cg	Isogeny class
Conductor	67600	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	336960	Modular degree for the optimal curve
Δ	-3262922884000000 = -1 · 28 · 56 · 138	Discriminant
Eigenvalues	2- -2 5+ -4  0 13+ -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-18308,2902888]	[a1,a2,a3,a4,a6]
j	-208	j-invariant
L	0.38848669104279	L(r)(E,1)/r!
Ω	0.38848668540303	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	16900k1 2704i1 67600cd1	Quadratic twists by: -4 5 13

Hecke Eigenvalues for elliptic curve 67600cg1

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	+	-4	0	+	-3	-2	-6	9	-2	7	3	-4	-6	-9	0	5	2	6	1	4	12	6	-14

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Quadratic twists for elliptic curve 67600cg1

-4	5	13
16900k1	2704i1	67600cd1

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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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