Atkin-Lehner |
2+ 3- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706h |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-7.4931937021727E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6308950,-6114080152] |
[a1,a2,a3,a4,a6] |
j |
-27771214300424261031523033/74931937021727342592 |
j-invariant |
L |
2.38111357788 |
L(r)(E,1)/r! |
Ω |
0.047622271557601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118bm1 |
Quadratic twists by: -3 |