Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906bl |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-972076587768 = -1 · 23 · 37 · 113 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-438999035,3540437436899] |
[a1,a2,a3,a4,a6] |
Generators |
[3153617200128036:-1529737816424087:260672203072] |
Generators of the group modulo torsion |
j |
-12834734215510285936978731625/1333438392 |
j-invariant |
L |
9.0103966187823 |
L(r)(E,1)/r! |
Ω |
0.22945303214895 |
Real period |
R |
19.634511983553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16302l2 |
Quadratic twists by: -3 |