Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hs |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-102942875000000 = -1 · 26 · 59 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92283,-10770563] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:6125:8] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
5.2744742719393 |
L(r)(E,1)/r! |
Ω |
0.13694869584031 |
Real period |
R |
2.4071396966535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400hd1 39200br1 15680cc1 11200cj1 |
Quadratic twists by: -4 8 5 -7 |