Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800bi |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
106496000 = 216 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-400] |
[a1,a2,a3,a4,a6] |
j |
37044/13 |
j-invariant |
L |
2.8559096116033 |
L(r)(E,1)/r! |
Ω |
1.4279548058016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800dn1 2600l1 20800bs1 |
Quadratic twists by: -4 8 5 |