Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cc |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12122482694370048 = 28 · 39 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16255710,-25222437612] |
[a1,a2,a3,a4,a6] |
Generators |
[700620:30197922:125] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
7.7080371880777 |
L(r)(E,1)/r! |
Ω |
0.075187919602193 |
Real period |
R |
6.4073101847022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042do2 2574k2 |
Quadratic twists by: -3 -7 |