Atkin-Lehner |
3- 5- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bk |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
13009920 |
Modular degree for the optimal curve |
Δ |
-7.8410880030316E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-68878767,-220031217095] |
[a1,a2,a3,a4,a6] |
j |
-49573807543838347483009024/1075595062144246875 |
j-invariant |
L |
6.2886701149532 |
L(r)(E,1)/r! |
Ω |
0.026202797020201 |
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 |
42735b1 |
Quadratic twists by: -3 |