Atkin-Lehner |
5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58835a |
Isogeny class |
Conductor |
58835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-64942831419921875 = -1 · 59 · 7 · 416 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-220771,-41693174] |
[a1,a2,a3,a4,a6] |
Generators |
[294410:56473191:8] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
1.7988823475342 |
L(r)(E,1)/r! |
Ω |
0.10977629248948 |
Real period |
R |
8.1934009006795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35a2 |
Quadratic twists by: 41 |