Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800k |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-55377920000000000 = -1 · 225 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -1 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19167,11269537] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:689:1] |
Generators of the group modulo torsion |
j |
304175/21632 |
j-invariant |
L |
4.9859033520435 |
L(r)(E,1)/r! |
Ω |
0.2697928785423 |
Real period |
R |
4.6201213491832 |
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 |
20800cj1 650d1 20800bv1 |
Quadratic twists by: -4 8 5 |