Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640j |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
53130431250000 = 24 · 37 · 58 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36858,-2700943] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:117:1] [-103:52:1] |
Generators of the group modulo torsion |
j |
474757132711936/4555078125 |
j-invariant |
L |
10.864835488445 |
L(r)(E,1)/r! |
Ω |
0.34476102014846 |
Real period |
R |
3.9392633063663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880q1 |
Quadratic twists by: -3 |