Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720h |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
308141278043200000 = 29 · 55 · 7 · 317 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4061016,3151165480] |
[a1,a2,a3,a4,a6] |
j |
14466316408973098133192/601838433678125 |
j-invariant |
L |
0.28766366767605 |
L(r)(E,1)/r! |
Ω |
0.28766366767792 |
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 |
34720e1 69440do1 |
Quadratic twists by: -4 8 |