Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328bn |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1713555809472 = 26 · 3 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8128,277654] |
[a1,a2,a3,a4,a6] |
Generators |
[108300:177031:1728] |
Generators of the group modulo torsion |
j |
928000593064000/26774309523 |
j-invariant |
L |
5.8864269748555 |
L(r)(E,1)/r! |
Ω |
0.83623993674647 |
Real period |
R |
7.0391603029328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cd1 53664p2 |
Quadratic twists by: -4 8 |