Atkin-Lehner |
2+ 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550o |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3556224 |
Modular degree for the optimal curve |
Δ |
775705453395968000 = 242 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -5 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6460655,-6323218075] |
[a1,a2,a3,a4,a6] |
Generators |
[6481959430:1087666033405:226981] |
Generators of the group modulo torsion |
j |
238585175324959041187757/6205643627167744 |
j-invariant |
L |
3.9578238865656 |
L(r)(E,1)/r! |
Ω |
0.094695880408825 |
Real period |
R |
10.44877525157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550bh1 |
Quadratic twists by: 5 |