Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200cm |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-404800000000 = -1 · 212 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,49588] |
[a1,a2,a3,a4,a6] |
Generators |
[12:158:1] |
Generators of the group modulo torsion |
j |
-744385/253 |
j-invariant |
L |
5.6582963062601 |
L(r)(E,1)/r! |
Ω |
0.89332856625286 |
Real period |
R |
3.1669737902578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6325e1 101200bo1 |
Quadratic twists by: -4 5 |