Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18408g |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
47713536 = 28 · 35 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55401,5037597] |
[a1,a2,a3,a4,a6] |
j |
73458896084122624/186381 |
j-invariant |
L |
2.6447227044582 |
L(r)(E,1)/r! |
Ω |
1.3223613522291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36816e1 55224f1 |
Quadratic twists by: -4 -3 |