Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050cl |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
15093540000000 = 28 · 34 · 57 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13401,565948] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:771:1] [11:642:1] |
Generators of the group modulo torsion |
j |
12796484219/725760 |
j-invariant |
L |
10.527659813968 |
L(r)(E,1)/r! |
Ω |
0.6898412273233 |
Real period |
R |
0.95381185177084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bq1 127050hr1 |
Quadratic twists by: 5 -11 |