Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742r |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1103770895605248 = -1 · 29 · 3 · 136 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7517,1579265] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1969:1] |
Generators of the group modulo torsion |
j |
9731810375/228675072 |
j-invariant |
L |
9.9692860802503 |
L(r)(E,1)/r! |
Ω |
0.36712734961314 |
Real period |
R |
1.5086024706778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318b2 |
Quadratic twists by: 13 |