Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bw |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-49846292477549568 = -1 · 210 · 310 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295038,62685076] |
[a1,a2,a3,a4,a6] |
Generators |
[44:7034:1] |
Generators of the group modulo torsion |
j |
-33116363266897/581188608 |
j-invariant |
L |
3.9497246317113 |
L(r)(E,1)/r! |
Ω |
0.35706077238949 |
Real period |
R |
1.3827214094645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042cj1 18018g1 |
Quadratic twists by: -3 -7 |