Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810b |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1784160 |
Modular degree for the optimal curve |
Δ |
2349287001669136000 = 27 · 53 · 598 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -2 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27259783,-54792530827] |
[a1,a2,a3,a4,a6] |
j |
15257199565849/16000 |
j-invariant |
L |
0.79286679001805 |
L(r)(E,1)/r! |
Ω |
0.06607223250155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810j1 |
Quadratic twists by: -59 |