Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800d |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-105625000000 = -1 · 26 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2675,55500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:100:1] |
Generators of the group modulo torsion |
j |
-2116874304/105625 |
j-invariant |
L |
4.1114549397589 |
L(r)(E,1)/r! |
Ω |
1.0473262901029 |
Real period |
R |
1.96283382677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800b1 10400v2 4160e1 |
Quadratic twists by: -4 8 5 |