Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dw |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-34611200000000 = -1 · 219 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3 5- 0 -3 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35500,-2590000] |
[a1,a2,a3,a4,a6] |
Generators |
[9300:137800:27] |
Generators of the group modulo torsion |
j |
-48317985/338 |
j-invariant |
L |
8.7452505620916 |
L(r)(E,1)/r! |
Ω |
0.17383250585339 |
Real period |
R |
4.1923740131144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800br1 5200bk1 20800dj1 |
Quadratic twists by: -4 8 5 |