Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834t |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
11199087354 = 2 · 3 · 7 · 13 · 295 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19491080,-33122512122] |
[a1,a2,a3,a4,a6] |
Generators |
[-2549010:1274523:1000] |
Generators of the group modulo torsion |
j |
818901045522640857815176321/11199087354 |
j-invariant |
L |
9.3871014219218 |
L(r)(E,1)/r! |
Ω |
0.071852284125317 |
Real period |
R |
5.2257775998046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126672bb2 47502w2 110838bm2 |
Quadratic twists by: -4 -3 -7 |