Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dp |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
2206700496 = 24 · 39 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1973,-33155] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] |
Generators of the group modulo torsion |
j |
880260507/2288 |
j-invariant |
L |
10.424097954089 |
L(r)(E,1)/r! |
Ω |
0.71647793981282 |
Real period |
R |
1.818635514229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000136268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126r1 126126dh1 |
Quadratic twists by: -3 -7 |