Atkin-Lehner |
2- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33320p |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
1960032340000000 = 28 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307785,-65586275] |
[a1,a2,a3,a4,a6] |
j |
2184958483456/1328125 |
j-invariant |
L |
2.8377978501846 |
L(r)(E,1)/r! |
Ω |
0.20269984644195 |
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 |
66640m1 33320j1 |
Quadratic twists by: -4 -7 |