Atkin-Lehner |
2- 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109564a |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
4870960672583824 = 24 · 78 · 134 · 432 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -3 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319790,-69418271] |
[a1,a2,a3,a4,a6] |
j |
39211675906816/52809289 |
j-invariant |
L |
2.4093482564226 |
L(r)(E,1)/r! |
Ω |
0.20077902712056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109564o1 |
Quadratic twists by: -7 |