Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bo |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
8322793578000 = 24 · 34 · 53 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10590,-400245] |
[a1,a2,a3,a4,a6] |
j |
74140932601/4698000 |
j-invariant |
L |
5.6699377554266 |
L(r)(E,1)/r! |
Ω |
0.47249481689275 |
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 |
870a1 |
Quadratic twists by: -11 |