Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23600n |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-16430320000000000 = -1 · 213 · 510 · 593 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62592,-1284812] |
[a1,a2,a3,a4,a6] |
j |
423733973831/256723750 |
j-invariant |
L |
1.8168138129031 |
L(r)(E,1)/r! |
Ω |
0.22710172661289 |
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 |
2950p1 94400cw1 4720b1 |
Quadratic twists by: -4 8 5 |