Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328f |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-13019042104768 = -1 · 26 · 79 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3283,-157780] |
[a1,a2,a3,a4,a6] |
j |
519718464/1729063 |
j-invariant |
L |
0.7236446539571 |
L(r)(E,1)/r! |
Ω |
0.36182229806529 |
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 |
111328bc1 15904c1 |
Quadratic twists by: -4 -7 |