Atkin-Lehner |
3- 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21489d |
Isogeny class |
Conductor |
21489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5024 |
Modular degree for the optimal curve |
Δ |
-408291 = -1 · 3 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2 3- -3 -2 6 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,18,17] |
[a1,a2,a3,a4,a6] |
j |
609800192/408291 |
j-invariant |
L |
3.7602355240298 |
L(r)(E,1)/r! |
Ω |
1.8801177620149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467l1 |
Quadratic twists by: -3 |