Atkin-Lehner |
2- 3- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904n |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-122882304 = -1 · 28 · 3 · 43 · 612 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -3 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,124,-24] |
[a1,a2,a3,a4,a6] |
j |
817036976/480009 |
j-invariant |
L |
2.1856418283859 |
L(r)(E,1)/r! |
Ω |
1.0928213709738 |
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 |
31476c1 |
Quadratic twists by: -4 |