Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608dg |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
13780647936 = 218 · 34 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1057,11615] |
[a1,a2,a3,a4,a6] |
j |
498677257/52569 |
j-invariant |
L |
4.8690325911561 |
L(r)(E,1)/r! |
Ω |
1.2172582543537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608g1 31152p1 |
Quadratic twists by: -4 8 |