Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770j |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
1.3255746763922E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4948874,-4234270084] |
[a1,a2,a3,a4,a6] |
Generators |
[-1254:901:1] |
Generators of the group modulo torsion |
j |
13404257926065177699800089/13255746763921920000 |
j-invariant |
L |
5.0664882673636 |
L(r)(E,1)/r! |
Ω |
0.10122755590741 |
Real period |
R |
1.3902912496799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310cc1 |
Quadratic twists by: -3 |