Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056t |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
486655404048 = 24 · 312 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 11+ 0 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25743,-1589425] |
[a1,a2,a3,a4,a6] |
Generators |
[-11695:1341:125] |
Generators of the group modulo torsion |
j |
161753494256896/41722857 |
j-invariant |
L |
7.5326942002967 |
L(r)(E,1)/r! |
Ω |
0.37691332207489 |
Real period |
R |
4.9963040300811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112y1 11352c1 |
Quadratic twists by: -4 -3 |