Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bh |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6512640 = 213 · 3 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135680,-19281612] |
[a1,a2,a3,a4,a6] |
Generators |
[-32252220156:2997210:151419437] |
Generators of the group modulo torsion |
j |
67439519879569921/1590 |
j-invariant |
L |
5.9023861793016 |
L(r)(E,1)/r! |
Ω |
0.24875414675707 |
Real period |
R |
11.863895047076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590o4 50880bx4 38160bf4 63600be4 |
Quadratic twists by: -4 8 -3 5 |