Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23460c |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
4113805072723200 = 28 · 39 · 52 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255341,-49481559] |
[a1,a2,a3,a4,a6] |
j |
7191957500090589184/16069551065325 |
j-invariant |
L |
2.1241128166227 |
L(r)(E,1)/r! |
Ω |
0.21241128166226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840cc1 70380bi1 117300t1 |
Quadratic twists by: -4 -3 5 |