Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54080ba |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
2.2239247069086E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-741121,-94197921] |
[a1,a2,a3,a4,a6] |
j |
16194277/8000 |
j-invariant |
L |
0.34232322412267 |
L(r)(E,1)/r! |
Ω |
0.17116161154879 |
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 |
54080cp1 1690i1 54080bw1 |
Quadratic twists by: -4 8 13 |