Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090i |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-1292244765581250 = -1 · 2 · 35 · 55 · 134 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-161104,-24962344] |
[a1,a2,a3,a4,a6] |
j |
-462422340525417209209/1292244765581250 |
j-invariant |
L |
1.1912985442031 |
L(r)(E,1)/r! |
Ω |
0.11912985442031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720bf1 36270br1 60450bz1 |
Quadratic twists by: -4 -3 5 |