Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540h |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-44727142917600000 = -1 · 28 · 34 · 55 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75261,12935961] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:2439:1] |
Generators of the group modulo torsion |
j |
-38153936896/36196875 |
j-invariant |
L |
6.7264389067858 |
L(r)(E,1)/r! |
Ω |
0.32818935092885 |
Real period |
R |
5.1239009672028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8580c1 |
Quadratic twists by: 13 |