Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720a |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
445098240000 = 211 · 38 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2936,53136] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:324:1] |
Generators of the group modulo torsion |
j |
1367130038258/217333125 |
j-invariant |
L |
3.4969200018276 |
L(r)(E,1)/r! |
Ω |
0.89872353712726 |
Real period |
R |
0.97274630555616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6360d3 50880ea4 38160l4 63600q4 |
Quadratic twists by: -4 8 -3 5 |