Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720a |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5824742400 = 210 · 34 · 52 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-816,-7920] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:28:1] |
Generators of the group modulo torsion |
j |
58752499396/5688225 |
j-invariant |
L |
3.4969200018276 |
L(r)(E,1)/r! |
Ω |
0.89872353712726 |
Real period |
R |
1.9454926111123 |
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 |
6360d2 50880ea2 38160l2 63600q2 |
Quadratic twists by: -4 8 -3 5 |