Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920t |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
107321760000 = 28 · 34 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3060,62208] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:270:1] |
Generators of the group modulo torsion |
j |
12381975627856/419225625 |
j-invariant |
L |
5.5458098896977 |
L(r)(E,1)/r! |
Ω |
1.0511093328337 |
Real period |
R |
1.3190373533138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
21840j2 87360b2 32760j2 54600g2 |
Quadratic twists by: -4 8 -3 5 |