Atkin-Lehner |
2+ 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386m |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16174080 |
Modular degree for the optimal curve |
Δ |
-7.1488689528775E+24 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -1 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48409820,182614867408] |
[a1,a2,a3,a4,a6] |
j |
-106643868215376775389625/60764383487131530752 |
j-invariant |
L |
1.3831866896871 |
L(r)(E,1)/r! |
Ω |
0.069159293188249 |
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 |
16198a1 |
Quadratic twists by: -7 |