Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800bs |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
1664000000000 = 216 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,-50000] |
[a1,a2,a3,a4,a6] |
Generators |
[94:672:1] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
3.9564178784975 |
L(r)(E,1)/r! |
Ω |
0.638600802914 |
Real period |
R |
3.0977238522439 |
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 |
20800dz1 2600d1 20800bi1 |
Quadratic twists by: -4 8 5 |