Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11408h |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2873907740672 = 222 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 2 0 4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228568,-41984016] |
[a1,a2,a3,a4,a6] |
Generators |
[-1232162682544279760085:13708058727479760622:4464664837558257591] |
Generators of the group modulo torsion |
j |
322412557611777625/701637632 |
j-invariant |
L |
6.9319747301982 |
L(r)(E,1)/r! |
Ω |
0.21834617885748 |
Real period |
R |
31.74763472606 |
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 |
1426b1 45632v1 102672be1 |
Quadratic twists by: -4 8 -3 |