Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13260d |
Isogeny class |
Conductor |
13260 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
249089100000000 = 28 · 3 · 58 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81316,8919880] |
[a1,a2,a3,a4,a6] |
Generators |
[186:442:1] |
Generators of the group modulo torsion |
j |
232282830332789584/973004296875 |
j-invariant |
L |
3.1270996910736 |
L(r)(E,1)/r! |
Ω |
0.55719046433761 |
Real period |
R |
0.62358483044653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040ch2 39780s2 66300z2 |
Quadratic twists by: -4 -3 5 |