Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192b |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-11488829784713216 = -1 · 211 · 139 · 232 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 2 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51320,2580436] |
[a1,a2,a3,a4,a6] |
Generators |
[4125:101062:27] |
Generators of the group modulo torsion |
j |
1512116062/1162213 |
j-invariant |
L |
8.1597542892905 |
L(r)(E,1)/r! |
Ω |
0.25832123100945 |
Real period |
R |
1.9742265902196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31096a1 4784a1 |
Quadratic twists by: -4 13 |