Atkin-Lehner |
2- 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010r |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-130436879040 = -1 · 26 · 312 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1014,-12060] |
[a1,a2,a3,a4,a6] |
j |
115295088815711/130436879040 |
j-invariant |
L |
4.4867653986612 |
L(r)(E,1)/r! |
Ω |
0.56084567483265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69030x1 115050b1 |
Quadratic twists by: -3 5 |