Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400dh |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-7814880000000000 = -1 · 214 · 36 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50208,-6086412] |
[a1,a2,a3,a4,a6] |
j |
-349938025/195372 |
j-invariant |
L |
3.7305884847953 |
L(r)(E,1)/r! |
Ω |
0.15544118722557 |
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 |
10050u1 80400cm1 |
Quadratic twists by: -4 5 |