Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122p |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-14628707474964 = -1 · 22 · 3 · 1110 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29587,1955141] |
[a1,a2,a3,a4,a6] |
Generators |
[427:7996:1] |
Generators of the group modulo torsion |
j |
-110433433/564 |
j-invariant |
L |
8.0230919288372 |
L(r)(E,1)/r! |
Ω |
0.70593963837846 |
Real period |
R |
5.6825622848338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366r1 34122c1 |
Quadratic twists by: -3 -11 |