Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347x |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53856 |
Modular degree for the optimal curve |
Δ |
-108679952667 = -1 · 3 · 118 · 132 |
Discriminant |
Eigenvalues |
1 3- 2 -3 11- 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,360,-15611] |
[a1,a2,a3,a4,a6] |
Generators |
[1498772605:141505213244:166375] |
Generators of the group modulo torsion |
j |
143/3 |
j-invariant |
L |
8.785782386645 |
L(r)(E,1)/r! |
Ω |
0.51312127229597 |
Real period |
R |
17.122233789554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61347ba1 61347bb1 |
Quadratic twists by: -11 13 |