Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dl |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
17576000000000 = 212 · 59 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-366500,85400000] |
[a1,a2,a3,a4,a6] |
Generators |
[-650:7000:1] |
Generators of the group modulo torsion |
j |
680543142336/2197 |
j-invariant |
L |
4.1821024042364 |
L(r)(E,1)/r! |
Ω |
0.60377769008564 |
Real period |
R |
3.4632800059598 |
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 |
20800dk1 10400bf1 20800dy1 |
Quadratic twists by: -4 8 5 |