Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540r |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-108416880 = -1 · 24 · 36 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,-495] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] |
Generators of the group modulo torsion |
j |
-1141504/40095 |
j-invariant |
L |
3.6572760090627 |
L(r)(E,1)/r! |
Ω |
0.8192451988276 |
Real period |
R |
0.74403365752687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540i1 |
Quadratic twists by: 13 |