Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18408h |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
295699123439616 = 211 · 3 · 138 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17072,-223860] |
[a1,a2,a3,a4,a6] |
j |
268702931670626/144384337617 |
j-invariant |
L |
0.88905674306406 |
L(r)(E,1)/r! |
Ω |
0.44452837153203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36816f4 55224g4 |
Quadratic twists by: -4 -3 |