Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200bo |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3200270085698688000 = 210 · 312 · 53 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-596955,-155265050] |
[a1,a2,a3,a4,a6] |
j |
252122146858292/34296447249 |
j-invariant |
L |
2.0796588569724 |
L(r)(E,1)/r! |
Ω |
0.17330490474762 |
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 |
68400ck2 11400bo2 34200cz2 |
Quadratic twists by: -4 -3 5 |