Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3146l |
Isogeny class |
Conductor |
3146 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-11791510016 = -1 · 29 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 1 -3 1 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55602,5041796] |
[a1,a2,a3,a4,a6] |
Generators |
[142:50:1] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
4.9085773925361 |
L(r)(E,1)/r! |
Ω |
1.0490615319373 |
Real period |
R |
0.2599454233406 |
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 |
25168bb3 100672bs3 28314v3 78650p3 |
Quadratic twists by: -4 8 -3 5 |