Atkin-Lehner |
3+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065h |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
799314140239875 = 32 · 53 · 139 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 3 0 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29757,1420614] |
[a1,a2,a3,a4,a6] |
j |
2914163746614209881/799314140239875 |
j-invariant |
L |
2.8157145594274 |
L(r)(E,1)/r! |
Ω |
0.46928575990456 |
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 |
39195e1 65325w1 |
Quadratic twists by: -3 5 |