Atkin-Lehner |
2- 3- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81252d |
Isogeny class |
Conductor |
81252 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
18247680 |
Modular degree for the optimal curve |
Δ |
-3.4368605921418E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 0 1 -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140710935,-1099232748754] |
[a1,a2,a3,a4,a6] |
j |
-1650972217675874320978000/1841596253505337750713 |
j-invariant |
L |
0.63004413684248 |
L(r)(E,1)/r! |
Ω |
0.021001471461796 |
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 |
27084b1 |
Quadratic twists by: -3 |