Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34450u |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
558 |
Product of Tamagawa factors cp |
deg |
20355840 |
Modular degree for the optimal curve |
Δ |
-9.4294407572923E+25 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 0 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91116105,-574731170103] |
[a1,a2,a3,a4,a6] |
Generators |
[12039:264380:1] |
Generators of the group modulo torsion |
j |
-5354132577145462444295961/6034842084667094466560 |
j-invariant |
L |
6.0134940384924 |
L(r)(E,1)/r! |
Ω |
0.023404500798725 |
Real period |
R |
0.460461478303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890e1 |
Quadratic twists by: 5 |