Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656f |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55670644224 = 29 · 34 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40664,3169764] |
[a1,a2,a3,a4,a6] |
j |
14524283631469256/108731727 |
j-invariant |
L |
1.0011401195695 |
L(r)(E,1)/r! |
Ω |
1.0011401183439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58656x4 117312u4 |
Quadratic twists by: -4 8 |