Atkin-Lehner |
3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6045k |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-221126641688671875 = -1 · 32 · 58 · 133 · 315 |
Discriminant |
Eigenvalues |
2 3- 5- 2 5 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,18910,-22596031] |
[a1,a2,a3,a4,a6] |
j |
747782559778770944/221126641688671875 |
j-invariant |
L |
7.0999013345586 |
L(r)(E,1)/r! |
Ω |
0.14791461113664 |
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 |
96720co1 18135i1 30225d1 78585k1 |
Quadratic twists by: -4 -3 5 13 |