Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800a |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
16640000000 = 214 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300,42000] |
[a1,a2,a3,a4,a6] |
Generators |
[5:175:1] |
Generators of the group modulo torsion |
j |
5256144/65 |
j-invariant |
L |
5.1487612337269 |
L(r)(E,1)/r! |
Ω |
1.2398079862191 |
Real period |
R |
2.0764349362794 |
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 |
20800cf1 2600j1 4160d1 |
Quadratic twists by: -4 8 5 |