Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bm |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
274319154443400300 = 22 · 39 · 52 · 134 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199598,-23253519] |
[a1,a2,a3,a4,a6] |
j |
1206320476629092761/376295136410700 |
j-invariant |
L |
3.7022901096017 |
L(r)(E,1)/r! |
Ω |
0.23139313190156 |
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 |
18330f3 |
Quadratic twists by: -3 |