Atkin-Lehner |
3- 5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205m |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
11707157138985 = 36 · 5 · 72 · 116 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5693,-13764] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:285:1] [-4:96:1] |
Generators of the group modulo torsion |
j |
27986475935881/16059200465 |
j-invariant |
L |
6.8611298593602 |
L(r)(E,1)/r! |
Ω |
0.59674757811301 |
Real period |
R |
5.7487706063017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999803016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245c1 |
Quadratic twists by: -3 |