Atkin-Lehner |
2+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454b |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
525504 |
Modular degree for the optimal curve |
Δ |
-21955801218154496 = -1 · 217 · 77 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 11- -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,54404,-5170480] |
[a1,a2,a3,a4,a6] |
j |
147169686417267503/181452902629376 |
j-invariant |
L |
0.40907279660328 |
L(r)(E,1)/r! |
Ω |
0.20453639786405 |
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 |
69454z1 |
Quadratic twists by: -11 |