Atkin-Lehner |
2+ 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bb |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
354240 |
Modular degree for the optimal curve |
Δ |
24365409375000 = 23 · 3 · 58 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 5 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94326,11140048] |
[a1,a2,a3,a4,a6] |
j |
237602668109305/62375448 |
j-invariant |
L |
3.9419557144869 |
L(r)(E,1)/r! |
Ω |
0.65699261955943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650bn1 |
Quadratic twists by: 5 |