Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235ba |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-6363882765423315 = -1 · 310 · 5 · 116 · 233 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 11- 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,32307,-3120197] |
[a1,a2,a3,a4,a6] |
j |
2887553024/4927635 |
j-invariant |
L |
2.6696529405141 |
L(r)(E,1)/r! |
Ω |
0.22247115126614 |
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 |
41745o1 1035b1 |
Quadratic twists by: -3 -11 |