Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11408h |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1658841988918673408 = 242 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300488,-13303312] |
[a1,a2,a3,a4,a6] |
Generators |
[-4832583:9866494:9261] |
Generators of the group modulo torsion |
j |
732565747951719625/404990719950848 |
j-invariant |
L |
6.9319747301982 |
L(r)(E,1)/r! |
Ω |
0.21834617885748 |
Real period |
R |
10.582544908687 |
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 |
1426b3 45632v3 102672be3 |
Quadratic twists by: -4 8 -3 |