Atkin-Lehner |
2+ 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
55480d |
Isogeny class |
Conductor |
55480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6561129600640000 = -1 · 210 · 54 · 192 · 734 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36707,4745006] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6380:1] |
Generators of the group modulo torsion |
j |
-5341588533206244/6407353125625 |
j-invariant |
L |
5.8715506677564 |
L(r)(E,1)/r! |
Ω |
0.38213917586238 |
Real period |
R |
3.8412383751105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999887 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110960g3 |
Quadratic twists by: -4 |