Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090be |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
342793755033600 = 226 · 3 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17910,-241500] |
[a1,a2,a3,a4,a6] |
j |
635348465310918241/342793755033600 |
j-invariant |
L |
5.7144504192586 |
L(r)(E,1)/r! |
Ω |
0.43957310917374 |
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 |
96720cb1 36270i1 60450l1 |
Quadratic twists by: -4 -3 5 |