Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520cr |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
893871739000000 = 26 · 56 · 197 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24187,164616] |
[a1,a2,a3,a4,a6] |
j |
519718464/296875 |
j-invariant |
L |
1.2816792938811 |
L(r)(E,1)/r! |
Ω |
0.42722638921979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520cp1 57760d2 6080s1 |
Quadratic twists by: -4 8 -19 |