Atkin-Lehner |
5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055h |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-39358410888671875 = -1 · 512 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19337,9483906] |
[a1,a2,a3,a4,a6] |
j |
451394172711/22216796875 |
j-invariant |
L |
1.1044590335036 |
L(r)(E,1)/r! |
Ω |
0.27611475824076 |
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 |
455a4 |
Quadratic twists by: -11 |