Atkin-Lehner |
2- 3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390bw |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
39011880960 = 212 · 37 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2642,52049] |
[a1,a2,a3,a4,a6] |
j |
2796665386969/53514240 |
j-invariant |
L |
6.9074566061658 |
L(r)(E,1)/r! |
Ω |
1.1512427690467 |
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 |
26130j1 |
Quadratic twists by: -3 |