Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dr |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-120536049517884 = -1 · 22 · 39 · 77 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9344,-630017] |
[a1,a2,a3,a4,a6] |
Generators |
[223242:7029041:216] |
Generators of the group modulo torsion |
j |
-38958219/52052 |
j-invariant |
L |
12.712471126961 |
L(r)(E,1)/r! |
Ω |
0.2313630721555 |
Real period |
R |
6.8682476793316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126u1 18018x1 |
Quadratic twists by: -3 -7 |