Cremona's table of elliptic curves

23460 = 2² · 3 · 5 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17- 23-	Signs for the Atkin-Lehner involutions
Class	23460j	Isogeny class
Conductor	23460	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	7488	Modular degree for the optimal curve
Δ	161874000 = 24 · 32 · 53 · 17 · 232	Discriminant
Eigenvalues	2- 3+ 5-  0  2 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-685,-6650]	[a1,a2,a3,a4,a6]
Generators	[-15:5:1]	Generators of the group modulo torsion
j	2224893853696/10117125	j-invariant
L	4.9819376496526	L(r)(E,1)/r!
Ω	0.93334654416227	Real period
R	0.59307942071615	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	93840cm1 70380s1 117300s1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 23460j1

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	-	4	-	-4	-6	6	0	0	-4	2	4	-12	8	-12	-2	8	-6	6	-6

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Quadratic twists for elliptic curve 23460j1

-4	-3	5
93840cm1	70380s1	117300s1

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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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