Atkin-Lehner |
2+ 3+ 5- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910c |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
16815079194624000 = 218 · 39 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1828509,952123013] |
[a1,a2,a3,a4,a6] |
j |
34349772111086361987/854294528000 |
j-invariant |
L |
2.1708143604782 |
L(r)(E,1)/r! |
Ω |
0.36180240275268 |
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 |
80910m1 |
Quadratic twists by: -3 |