Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224s |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3059938989202987008 = 211 · 316 · 132 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78856059,-269526018058] |
[a1,a2,a3,a4,a6] |
Generators |
[1801938470650330:-2591796335107365126:870983875] |
Generators of the group modulo torsion |
j |
36322140746696723363954/2049534752499 |
j-invariant |
L |
6.5978109227037 |
L(r)(E,1)/r! |
Ω |
0.050662986718193 |
Real period |
R |
21.70490184316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448o2 18408c2 |
Quadratic twists by: -4 -3 |