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	16	Product of Tamagawa factors cp
Δ	103218887702988800 = 211 · 52 · 1710	Discriminant
Eigenvalues	2+  0 5-  0  0 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-336107,73390394]	[a1,a2,a3,a4,a6]
j	84944038338/2088025	j-invariant
L	1.3393986116925	L(r)(E,1)/r!
Ω	0.33484965292312	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11560j3 92480cw4 115600a4 1360a3	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120i4

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 23120i4

-4	8	5	17
11560j3	92480cw4	115600a4	1360a3

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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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