Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240fp |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-229903738560 = -1 · 26 · 310 · 5 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1068,-18754] |
[a1,a2,a3,a4,a6] |
j |
2887553024/4927635 |
j-invariant |
L |
1.0434821936818 |
L(r)(E,1)/r! |
Ω |
0.52174109700239 |
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 |
66240dd1 16560bl1 22080by1 |
Quadratic twists by: -4 8 -3 |