Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126do |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-3.6342445778111E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395093,-305290835] |
[a1,a2,a3,a4,a6] |
Generators |
[1147:26804:1] |
Generators of the group modulo torsion |
j |
-7071854467662747/37681378189312 |
j-invariant |
L |
8.9751820017338 |
L(r)(E,1)/r! |
Ω |
0.085686510556317 |
Real period |
R |
2.0143153273254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126q1 126126dg1 |
Quadratic twists by: -3 -7 |