Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8820u |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6535790097580800 = -1 · 28 · 311 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 7 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-214032,38310356] |
[a1,a2,a3,a4,a6] |
j |
-1007878144/6075 |
j-invariant |
L |
3.3967971231014 |
L(r)(E,1)/r! |
Ω |
0.42459964038767 |
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 |
35280fb1 2940a1 44100be1 8820o1 |
Quadratic twists by: -4 -3 5 -7 |