Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350ba |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
587756250000 = 24 · 37 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15417,739741] |
[a1,a2,a3,a4,a6] |
Generators |
[29:548:1] |
Generators of the group modulo torsion |
j |
35578826569/51600 |
j-invariant |
L |
3.180518670008 |
L(r)(E,1)/r! |
Ω |
0.91672995860144 |
Real period |
R |
0.86735429560418 |
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 |
6450bd1 3870y1 |
Quadratic twists by: -3 5 |