Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470bb |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
91596225600 = 26 · 36 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1276,9680] |
[a1,a2,a3,a4,a6] |
j |
229771948621249/91596225600 |
j-invariant |
L |
5.8421991023046 |
L(r)(E,1)/r! |
Ω |
0.97369985038411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
58410o1 97350h1 |
Quadratic twists by: -3 5 |