Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135u |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
109237107982640625 = 316 · 56 · 132 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2824907,-1826711494] |
[a1,a2,a3,a4,a6] |
Generators |
[5616:396454:1] |
Generators of the group modulo torsion |
j |
3419861389855396904809/149845141265625 |
j-invariant |
L |
2.9805254799052 |
L(r)(E,1)/r! |
Ω |
0.11645272882518 |
Real period |
R |
4.2657158115773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6045j2 90675ba2 |
Quadratic twists by: -3 5 |