Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450cv |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1309010625000000 = 26 · 36 · 510 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42005,2829997] |
[a1,a2,a3,a4,a6] |
j |
719564007681/114920000 |
j-invariant |
L |
5.5423012569581 |
L(r)(E,1)/r! |
Ω |
0.46185843966628 |
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 |
11050g1 19890c1 |
Quadratic twists by: -3 5 |