Atkin-Lehner |
2- 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328cl |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
19558163349504 = 216 · 35 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12129,464031] |
[a1,a2,a3,a4,a6] |
Generators |
[21:468:1] |
Generators of the group modulo torsion |
j |
3011303822692/298433889 |
j-invariant |
L |
8.2460734193782 |
L(r)(E,1)/r! |
Ω |
0.66602397421832 |
Real period |
R |
0.61905229595478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328i1 26832a1 |
Quadratic twists by: -4 8 |