Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920t |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
29929002055680 = 211 · 3 · 5 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108960,-13877472] |
[a1,a2,a3,a4,a6] |
Generators |
[-1526:399:8] |
Generators of the group modulo torsion |
j |
69855246474511682/14613770535 |
j-invariant |
L |
5.5458098896977 |
L(r)(E,1)/r! |
Ω |
0.26277733320843 |
Real period |
R |
5.2761494132551 |
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 |
21840j6 87360b6 32760j6 54600g6 |
Quadratic twists by: -4 8 -3 5 |