Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fd |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
149590800 = 24 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,-565] |
[a1,a2,a3,a4,a6] |
j |
1703680/513 |
j-invariant |
L |
2.7262538113865 |
L(r)(E,1)/r! |
Ω |
1.3631269022596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100n1 22800cc1 68400gj1 |
Quadratic twists by: -4 -3 5 |