Atkin-Lehner |
2+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34850d |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-3729343151562500000 = -1 · 25 · 511 · 175 · 412 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58626,93068148] |
[a1,a2,a3,a4,a6] |
j |
-1426145474814481/238677961700000 |
j-invariant |
L |
1.6275033112269 |
L(r)(E,1)/r! |
Ω |
0.20343791390162 |
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 |
6970h1 |
Quadratic twists by: 5 |