Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3146k |
Isogeny class |
Conductor |
3146 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
1688995889152 = 230 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4793,110969] |
[a1,a2,a3,a4,a6] |
Generators |
[26:51:1] |
Generators of the group modulo torsion |
j |
100638995169625/13958643712 |
j-invariant |
L |
5.286210702688 |
L(r)(E,1)/r! |
Ω |
0.80820475422035 |
Real period |
R |
0.21802275042655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168x2 100672bm2 28314o2 78650r2 |
Quadratic twists by: -4 8 -3 5 |