Cremona's table of elliptic curves

23360 = 2⁶ · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5- 73-	Signs for the Atkin-Lehner involutions
Class	23360i	Isogeny class
Conductor	23360	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-139696537600000000 = -1 · 226 · 58 · 732	Discriminant
Eigenvalues	2+  0 5- -2 -2 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,26548,-17905296]	[a1,a2,a3,a4,a6]
Generators	[6798:560640:1]	Generators of the group modulo torsion
j	7893674555031/532900000000	j-invariant
L	4.5636083656945	L(r)(E,1)/r!
Ω	0.15601443753546	Real period
R	1.8281995394887	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23360z2 730a2 116800a2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 23360i2

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	-	-2	-2	-2	2	0	4	-10	10	6	6	6	-6	-2	-6	-2	-8	16	-	4	-6	-6	6

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Quadratic twists for elliptic curve 23360i2

-4	8	5
23360z2	730a2	116800a2

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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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