Atkin-Lehner |
2- 3+ 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bh |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-813032813238750 = -1 · 2 · 39 · 54 · 135 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32132,-2599019] |
[a1,a2,a3,a4,a6] |
j |
-186394469919867/41306346250 |
j-invariant |
L |
7.0484629242853 |
L(r)(E,1)/r! |
Ω |
0.17621158346352 |
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 |
104130d1 |
Quadratic twists by: -3 |