Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550c |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-1752499504000000 = -1 · 210 · 56 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -5 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15542,-2143884] |
[a1,a2,a3,a4,a6] |
j |
-4609521/19456 |
j-invariant |
L |
1.5567696506432 |
L(r)(E,1)/r! |
Ω |
0.19459620633366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1862d1 46550g1 |
Quadratic twists by: 5 -7 |