Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472v |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30237036544 = 212 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14491,671370] |
[a1,a2,a3,a4,a6] |
Generators |
[61:120:1] |
Generators of the group modulo torsion |
j |
82159697864817/7382089 |
j-invariant |
L |
4.580077897642 |
L(r)(E,1)/r! |
Ω |
1.1236564115039 |
Real period |
R |
2.0380241908264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2717a2 |
Quadratic twists by: -4 |