Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040cd |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-8149435798400000 = -1 · 210 · 55 · 135 · 193 |
Discriminant |
Eigenvalues |
2- 3 5- 3 2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13432,-4384456] |
[a1,a2,a3,a4,a6] |
j |
-261725359417344/7958433396875 |
j-invariant |
L |
9.0143772061801 |
L(r)(E,1)/r! |
Ω |
0.18028754395891 |
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 |
79040bh1 19760c1 |
Quadratic twists by: -4 8 |