Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504l |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
144158026568192 = 29 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521771,-145065646] |
[a1,a2,a3,a4,a6] |
Generators |
[16258:678249:8] [-11238:476:27] |
Generators of the group modulo torsion |
j |
30682699258160954376/281558645641 |
j-invariant |
L |
8.2451101376827 |
L(r)(E,1)/r! |
Ω |
0.17763551909973 |
Real period |
R |
23.207943376047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49504t4 99008bw4 |
Quadratic twists by: -4 8 |