Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55120g |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-311113154560000 = -1 · 220 · 54 · 132 · 532 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16104,-313196] |
[a1,a2,a3,a4,a6] |
j |
112755589904231/75955360000 |
j-invariant |
L |
1.2362374649251 |
L(r)(E,1)/r! |
Ω |
0.30905936591597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890a2 |
Quadratic twists by: -4 |