Atkin-Lehner |
2+ 3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670l |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
5763036600000 = 26 · 36 · 55 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 -7 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5355,-95675] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:253:1] |
Generators of the group modulo torsion |
j |
23298085122481/7905400000 |
j-invariant |
L |
3.5552037830557 |
L(r)(E,1)/r! |
Ω |
0.57342706683751 |
Real period |
R |
1.5499808148751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999261441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630j1 |
Quadratic twists by: -3 |