Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ct |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
19192320 |
Modular degree for the optimal curve |
Δ |
-7.3243178796044E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3781125,-12710616647] |
[a1,a2,a3,a4,a6] |
j |
29032124914751/355679845092 |
j-invariant |
L |
3.0030018256918 |
L(r)(E,1)/r! |
Ω |
0.053625024698422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cc1 126126bn1 |
Quadratic twists by: -3 -7 |