Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280bt |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
701576400 = 24 · 3 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-271,-1246] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
138074404864/43848525 |
j-invariant |
L |
5.5977676860666 |
L(r)(E,1)/r! |
Ω |
1.2057850473965 |
Real period |
R |
2.3212129301791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560h1 114240bp1 42840z1 71400p1 |
Quadratic twists by: -4 8 -3 5 |