Atkin-Lehner |
2- 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090s |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4011893527040100000 = 25 · 32 · 55 · 136 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-401376,-17280927] |
[a1,a2,a3,a4,a6] |
j |
7151184476511905115649/4011893527040100000 |
j-invariant |
L |
2.0393627572051 |
L(r)(E,1)/r! |
Ω |
0.20393627572051 |
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 |
96720cw2 36270x2 60450be2 |
Quadratic twists by: -4 -3 5 |