Atkin-Lehner |
2- 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bc |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3685757080078125000 = 23 · 39 · 515 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2067743,-1140188993] |
[a1,a2,a3,a4,a6] |
j |
49673172771799729803/187255859375000 |
j-invariant |
L |
6.8001369369251 |
L(r)(E,1)/r! |
Ω |
0.1259284615373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69030e1 |
Quadratic twists by: -3 |