Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bo |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4417148379549007872 = 217 · 312 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72131544,235819764720] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:500094:1] |
Generators of the group modulo torsion |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
2.800180245002 |
L(r)(E,1)/r! |
Ω |
0.18933374848694 |
Real period |
R |
1.8487064953948 |
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 |
3234o3 103488io4 77616gk4 3696z3 |
Quadratic twists by: -4 8 -3 -7 |