Cremona's table of elliptic curves

23120 = 2⁴ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	23120i	Isogeny class
Conductor	23120	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-328270938400000000 = -1 · 211 · 58 · 177	Discriminant
Eigenvalues	2+  0 5-  0  0 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,149413,-16301334]	[a1,a2,a3,a4,a6]
j	7462174302/6640625	j-invariant
L	1.3393986116925	L(r)(E,1)/r!
Ω	0.16742482646156	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11560j4 92480cw3 115600a3 1360a4	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120i3

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	-	0	0	-2	+	4	-8	-2	-8	-2	-2	4	0	6	4	6	-4	-8	-2	0	-4	-6	-18

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Quadratic twists for elliptic curve 23120i3

-4	8	5	17
11560j4	92480cw3	115600a3	1360a4

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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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