Atkin-Lehner |
2- 11+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258o |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-2466203583183626 = -1 · 2 · 112 · 139 · 312 |
Discriminant |
Eigenvalues |
2- 1 1 -1 11+ 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,32360,-827126] |
[a1,a2,a3,a4,a6] |
j |
353393243/232562 |
j-invariant |
L |
2.0889099785997 |
L(r)(E,1)/r! |
Ω |
0.26111384841301 |
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 |
115258j1 |
Quadratic twists by: 13 |