Atkin-Lehner |
2+ 3- 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80910i |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
478720 |
Modular degree for the optimal curve |
Δ |
-2972083367347200 = -1 · 210 · 317 · 52 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -1 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60219,-6248475] |
[a1,a2,a3,a4,a6] |
j |
-33128430296069809/4076931916800 |
j-invariant |
L |
2.4214367157715 |
L(r)(E,1)/r! |
Ω |
0.15133979706668 |
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 |
26970j1 |
Quadratic twists by: -3 |