Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gf |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1533675052597248000 = -1 · 220 · 39 · 53 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44600,-59682373] |
[a1,a2,a3,a4,a6] |
j |
-107666753521517/16830453252096 |
j-invariant |
L |
4.7681106352973 |
L(r)(E,1)/r! |
Ω |
0.11920276549687 |
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 |
28050bs1 84150dc1 |
Quadratic twists by: -3 5 |