Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bh |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26178722242560 = 213 · 34 · 5 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9280,-243532] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:312:1] |
Generators of the group modulo torsion |
j |
21580151584321/6391289610 |
j-invariant |
L |
5.9023861793016 |
L(r)(E,1)/r! |
Ω |
0.49750829351414 |
Real period |
R |
2.965973761769 |
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 |
1590o3 50880bx3 38160bf3 63600be3 |
Quadratic twists by: -4 8 -3 5 |