Atkin-Lehner |
2+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346i |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-7507889019904 = -1 · 210 · 72 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3545,104106] |
[a1,a2,a3,a4,a6] |
j |
1021147343/1555456 |
j-invariant |
L |
1.0093678722434 |
L(r)(E,1)/r! |
Ω |
0.50468394670651 |
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 |
434d1 |
Quadratic twists by: 13 |