Atkin-Lehner |
2- 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bv |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
100415674598400 = 210 · 39 · 52 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70607,-7187561] |
[a1,a2,a3,a4,a6] |
j |
1977743341430667/5101644800 |
j-invariant |
L |
5.8584862855606 |
L(r)(E,1)/r! |
Ω |
0.29292431426529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290b1 |
Quadratic twists by: -3 |