Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080j |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-6707966400 = -1 · 26 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,430,1800] |
[a1,a2,a3,a4,a6] |
j |
137068836416/104811975 |
j-invariant |
L |
1.707591500247 |
L(r)(E,1)/r! |
Ω |
0.85379575012493 |
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 |
34080bj1 68160x1 102240bd1 |
Quadratic twists by: -4 8 -3 |