Atkin-Lehner |
3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513d |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1440538624914939 = -1 · 33 · 1112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22846,1246468] |
[a1,a2,a3,a4,a6] |
Generators |
[371:7604:1] |
Generators of the group modulo torsion |
j |
27570978261/30116537 |
j-invariant |
L |
3.9137613013135 |
L(r)(E,1)/r! |
Ω |
0.31799851098076 |
Real period |
R |
6.1537415525042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18513a2 1683a2 |
Quadratic twists by: -3 -11 |