Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cb |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
-6.9258501740199E+24 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11431611,127491600613] |
[a1,a2,a3,a4,a6] |
Generators |
[4253:392573:1] |
Generators of the group modulo torsion |
j |
-802302449299393/33632965656576 |
j-invariant |
L |
2.2796788311111 |
L(r)(E,1)/r! |
Ω |
0.06210738452682 |
Real period |
R |
4.5881799614983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998856633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cl1 126126bg1 |
Quadratic twists by: -3 -7 |