Atkin-Lehner |
2- 3- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624z |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5628672 |
Modular degree for the optimal curve |
Δ |
-1.9090808485473E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -2 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33146053,-73761945793] |
[a1,a2,a3,a4,a6] |
j |
-15731829150446623399936000/74573470646379953307 |
j-invariant |
L |
1.7612721850057 |
L(r)(E,1)/r! |
Ω |
0.031451289111323 |
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 |
21156c1 |
Quadratic twists by: -4 |