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	23120bg	Isogeny class
Conductor	23120	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-5918720 = -1 · 212 · 5 · 172	Discriminant
Eigenvalues	2- -1 5- -5  2  2 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,40,-80]	[a1,a2,a3,a4,a6]
Generators	[2:2:1]	Generators of the group modulo torsion
j	5831/5	j-invariant
L	3.2793103030958	L(r)(E,1)/r!
Ω	1.3202986397589	Real period
R	1.2418820274232	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	1445c1 92480dc1 115600bk1 23120w1	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120bg1

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
-	-1	-	-5	2	2	+	-6	-9	6	8	-2	-1	-4	0	-4	-2	2	7	10	-4	-8	11	-3	-2

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Quadratic twists for elliptic curve 23120bg1

-4	8	5	17
1445c1	92480dc1	115600bk1	23120w1

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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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