Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bl |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
6.5634898466117E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- -1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8238308,-9015422457] |
[a1,a2,a3,a4,a6] |
j |
3270268089121/34712064 |
j-invariant |
L |
3.2101181558069 |
L(r)(E,1)/r! |
Ω |
0.089169948862365 |
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 |
22506c1 67518k1 |
Quadratic twists by: -3 -11 |