Atkin-Lehner |
2+ 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090p |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
135260510172840 = 23 · 36 · 5 · 136 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38524,2852786] |
[a1,a2,a3,a4,a6] |
j |
6322686217296773689/135260510172840 |
j-invariant |
L |
1.166107444252 |
L(r)(E,1)/r! |
Ω |
0.58305372212602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
96720bp2 36270cc2 60450bx2 |
Quadratic twists by: -4 -3 5 |