Atkin-Lehner |
2- 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320bv |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4017988177920 = 212 · 34 · 5 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13240,582832] |
[a1,a2,a3,a4,a6] |
j |
62670119202361/980954145 |
j-invariant |
L |
3.1347383947799 |
L(r)(E,1)/r! |
Ω |
0.78368453119596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395k3 |
Quadratic twists by: -4 |