Atkin-Lehner |
2+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63296k |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-23036705792 = -1 · 210 · 233 · 432 |
Discriminant |
Eigenvalues |
2+ 3 2 -2 2 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604,9272] |
[a1,a2,a3,a4,a6] |
j |
-23797677312/22496783 |
j-invariant |
L |
6.5817243525435 |
L(r)(E,1)/r! |
Ω |
1.0969540581267 |
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 |
63296t1 7912b1 |
Quadratic twists by: -4 8 |