Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400cl |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
1040394897325000000 = 26 · 58 · 75 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -5 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-463958,-111143588] |
[a1,a2,a3,a4,a6] |
j |
441794843320000/41615795893 |
j-invariant |
L |
1.8403287458453 |
L(r)(E,1)/r! |
Ω |
0.18403288032638 |
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 |
106400bc1 106400q1 |
Quadratic twists by: -4 5 |