Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32136f |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
835536 = 24 · 3 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107,390] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1365:1] |
Generators of the group modulo torsion |
j |
8546879488/52221 |
j-invariant |
L |
9.0257318740328 |
L(r)(E,1)/r! |
Ω |
2.8340945154649 |
Real period |
R |
3.1846968493047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64272a1 96408e1 |
Quadratic twists by: -4 -3 |