Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bf |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-207219813747130368 = -1 · 217 · 38 · 194 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115131,-26566166] |
[a1,a2,a3,a4,a6] |
Generators |
[1322:46170:1] |
Generators of the group modulo torsion |
j |
-56521420288633/69397496352 |
j-invariant |
L |
5.6397758848638 |
L(r)(E,1)/r! |
Ω |
0.12381636690586 |
Real period |
R |
5.6936897856756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706w2 39216w2 |
Quadratic twists by: -4 -3 |