Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400ds |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-22158288342000 = -1 · 24 · 33 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3562,-209997] |
[a1,a2,a3,a4,a6] |
j |
2498351450368/11079144171 |
j-invariant |
L |
2.0557936144948 |
L(r)(E,1)/r! |
Ω |
0.34263226908247 |
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 |
5100j1 81600hf1 61200hj1 20400cr1 |
Quadratic twists by: -4 8 -3 5 |