Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258bd |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
416032546179106692 = 22 · 312 · 119 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-219678,24629760] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:6744:1] |
Generators of the group modulo torsion |
j |
661801005573625/234839526372 |
j-invariant |
L |
11.46995724867 |
L(r)(E,1)/r! |
Ω |
0.27401398830379 |
Real period |
R |
3.4882517371742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478e1 |
Quadratic twists by: -11 |