Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6045c |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
2341956856005 = 319 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -5 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6456,-183454] |
[a1,a2,a3,a4,a6] |
j |
29763331769995264/2341956856005 |
j-invariant |
L |
0.53525898556209 |
L(r)(E,1)/r! |
Ω |
0.53525898556209 |
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 |
96720cv1 18135m1 30225ba1 78585f1 |
Quadratic twists by: -4 -3 5 13 |