Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347l |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-11005119726978663 = -1 · 32 · 117 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40472,-3939616] |
[a1,a2,a3,a4,a6] |
j |
857375/1287 |
j-invariant |
L |
0.85619735684103 |
L(r)(E,1)/r! |
Ω |
0.21404933826201 |
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 |
5577c1 4719c1 |
Quadratic twists by: -11 13 |