Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5175x |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
22732181180859375 = 314 · 58 · 233 |
Discriminant |
Eigenvalues |
1 3- 5- 3 -5 1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3433617,-2448058334] |
[a1,a2,a3,a4,a6] |
j |
15721420060947505/79827687 |
j-invariant |
L |
1.9963386893277 |
L(r)(E,1)/r! |
Ω |
0.11090770496265 |
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 |
82800fj1 1725j1 5175d1 119025ci1 |
Quadratic twists by: -4 -3 5 -23 |