Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bh |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10355097600 = 214 · 32 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8480,-303372] |
[a1,a2,a3,a4,a6] |
Generators |
[3612:26650:27] |
Generators of the group modulo torsion |
j |
16466546841121/2528100 |
j-invariant |
L |
5.9023861793016 |
L(r)(E,1)/r! |
Ω |
0.49750829351414 |
Real period |
R |
5.931947523538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590o2 50880bx2 38160bf2 63600be2 |
Quadratic twists by: -4 8 -3 5 |