Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400dj |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
-3982524866887680000 = -1 · 229 · 311 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 7 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167808,99537588] |
[a1,a2,a3,a4,a6] |
j |
-204138217783825/1555673776128 |
j-invariant |
L |
4.672770786033 |
L(r)(E,1)/r! |
Ω |
0.21239867193662 |
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 |
10050bc1 80400bw1 |
Quadratic twists by: -4 5 |