Atkin-Lehner |
2+ 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990k |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-134512033923072000 = -1 · 228 · 38 · 53 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,79731,15351525] |
[a1,a2,a3,a4,a6] |
j |
76890866172601391/184515821568000 |
j-invariant |
L |
2.7466028259683 |
L(r)(E,1)/r! |
Ω |
0.2288835688585 |
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 |
18330w1 |
Quadratic twists by: -3 |