Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126x |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-17407161787631616 = -1 · 211 · 33 · 72 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65256,-9009344] |
[a1,a2,a3,a4,a6] |
Generators |
[3342:46663:8] |
Generators of the group modulo torsion |
j |
-23228916850810251/13157340731392 |
j-invariant |
L |
4.0130633825463 |
L(r)(E,1)/r! |
Ω |
0.14553845530914 |
Real period |
R |
2.2978253532425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998823174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dv2 126126h1 |
Quadratic twists by: -3 -7 |