Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900f |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-235622977200 = -1 · 24 · 32 · 52 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1487,7162] |
[a1,a2,a3,a4,a6] |
Generators |
[1:93:1] |
Generators of the group modulo torsion |
j |
908457328640/589057443 |
j-invariant |
L |
4.7865045321249 |
L(r)(E,1)/r! |
Ω |
0.61871267335825 |
Real period |
R |
0.42979064714195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999313248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120900be2 |
Quadratic twists by: 5 |