Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540n |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
1.7367179936133E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17884065,29047182462] |
[a1,a2,a3,a4,a6] |
Generators |
[-4046:187500:1] |
Generators of the group modulo torsion |
j |
233946077598763088625664/642277364501953125 |
j-invariant |
L |
7.0343495412269 |
L(r)(E,1)/r! |
Ω |
0.14962517602036 |
Real period |
R |
3.616395500748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999538894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540d1 |
Quadratic twists by: 13 |