Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032c |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-58724495856 = -1 · 24 · 36 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4827,-129607] |
[a1,a2,a3,a4,a6] |
j |
-1066370439424/5034679 |
j-invariant |
L |
1.1452164149172 |
L(r)(E,1)/r! |
Ω |
0.28630410417024 |
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 |
29016d1 6448a1 |
Quadratic twists by: -4 -3 |