Cremona's table of elliptic curves

5360 = 2⁴ · 5 · 67

Field	Data	Notes
Atkin-Lehner	2+ 5- 67-	Signs for the Atkin-Lehner involutions
Class	5360g	Isogeny class
Conductor	5360	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	-10720000 = -1 · 28 · 54 · 67	Discriminant
Eigenvalues	2+  2 5-  2 -4 -6 -1 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,55,-43]	[a1,a2,a3,a4,a6]
Generators	[4:15:1]	Generators of the group modulo torsion
j	70575104/41875	j-invariant
L	5.5233900339457	L(r)(E,1)/r!
Ω	1.3330060180831	Real period
R	1.0358899282932	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2680g1 21440q1 48240m1 26800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5360g1

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	-	2	-4	-6	-1	-5	-3	7	2	-9	0	10	3	2	-11	-14	-	0	13	4	-12	-1	8

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Quadratic twists for elliptic curve 5360g1

-4	8	-3	5
2680g1	21440q1	48240m1	26800e1

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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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