Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bs |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1279488 |
Modular degree for the optimal curve |
Δ |
295870050399924 = 22 · 37 · 72 · 11 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-652689,203120217] |
[a1,a2,a3,a4,a6] |
Generators |
[468:-207:1] |
Generators of the group modulo torsion |
j |
860833894093732321/8282804244 |
j-invariant |
L |
5.1145073096038 |
L(r)(E,1)/r! |
Ω |
0.49346545773328 |
Real period |
R |
2.591117158618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042dk1 126126bf1 |
Quadratic twists by: -3 -7 |