Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720dc |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-6022188055572480 = -1 · 212 · 319 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20635,-3548205] |
[a1,a2,a3,a4,a6] |
j |
237222641291264/1470260755755 |
j-invariant |
L |
4.0382305321925 |
L(r)(E,1)/r! |
Ω |
0.21253844937114 |
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 |
3795e1 |
Quadratic twists by: -4 |