Atkin-Lehner |
5+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65975b |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2050791640625 = 57 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 2 5+ 7+ 2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28063,-1819844] |
[a1,a2,a3,a4,a6] |
Generators |
[-12280:9943:125] |
Generators of the group modulo torsion |
j |
156425280396841/131250665 |
j-invariant |
L |
5.0019075896126 |
L(r)(E,1)/r! |
Ω |
0.36888230729539 |
Real period |
R |
6.7798149862643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195i1 |
Quadratic twists by: 5 |