Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bj |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
1268663082958985472 = 28 · 37 · 119 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-655601,-196836703] |
[a1,a2,a3,a4,a6] |
j |
18129265883/738048 |
j-invariant |
L |
2.6912184342061 |
L(r)(E,1)/r! |
Ω |
0.16820115255417 |
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 |
22506i1 67518i1 |
Quadratic twists by: -3 -11 |