Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540o |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
2553915387880668240 = 24 · 35 · 5 · 115 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-372025,41551210] |
[a1,a2,a3,a4,a6] |
Generators |
[11445:358987:125] |
Generators of the group modulo torsion |
j |
436289191936/195676965 |
j-invariant |
L |
6.3221996738653 |
L(r)(E,1)/r! |
Ω |
0.23063298225373 |
Real period |
R |
9.137461059189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540c1 |
Quadratic twists by: 13 |