Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080bg |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
231273158681250000 = 24 · 312 · 58 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155298,-4418003] |
[a1,a2,a3,a4,a6] |
j |
35511890207512576/19827945703125 |
j-invariant |
L |
2.0656496450642 |
L(r)(E,1)/r! |
Ω |
0.25820620744229 |
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 |
24360o1 |
Quadratic twists by: -3 |