Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805f |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
18158768588603125 = 55 · 72 · 179 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1070841,-426824135] |
[a1,a2,a3,a4,a6] |
j |
114817869021184/15353125 |
j-invariant |
L |
2.3746069904744 |
L(r)(E,1)/r! |
Ω |
0.14841293638795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805y1 4165i1 |
Quadratic twists by: -7 17 |