Atkin-Lehner |
2- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58480f |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73551933440000 = 215 · 54 · 174 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31763,-2139438] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:170:1] |
Generators of the group modulo torsion |
j |
865223502622569/17957015000 |
j-invariant |
L |
4.5752138572381 |
L(r)(E,1)/r! |
Ω |
0.35806941800359 |
Real period |
R |
1.5971811704582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310f4 |
Quadratic twists by: -4 |