Atkin-Lehner |
2- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550bj |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
63936 |
Modular degree for the optimal curve |
Δ |
451520000 = 29 · 54 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- 3 6 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1705,27497] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-4:1] |
Generators of the group modulo torsion |
j |
876552685425/722432 |
j-invariant |
L |
11.04527508278 |
L(r)(E,1)/r! |
Ω |
1.6565879607981 |
Real period |
R |
0.74083164683963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550b1 |
Quadratic twists by: 5 |