Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040bj |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-8548966400000 = -1 · 216 · 55 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 4 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4159,96959] |
[a1,a2,a3,a4,a6] |
j |
121368536636/130446875 |
j-invariant |
L |
0.97371167436452 |
L(r)(E,1)/r! |
Ω |
0.48685583411215 |
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 |
79040e1 19760j1 |
Quadratic twists by: -4 8 |