Atkin-Lehner |
13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3211a |
Isogeny class |
Conductor |
3211 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-33107082931 = -1 · 136 · 193 |
Discriminant |
Eigenvalues |
0 -2 -3 1 -3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1577,-26178] |
[a1,a2,a3,a4,a6] |
Generators |
[56:253:1] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
1.3665254793772 |
L(r)(E,1)/r! |
Ω |
0.37712949549257 |
Real period |
R |
1.8117456943966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51376x2 28899c2 80275a2 19a1 |
Quadratic twists by: -4 -3 5 13 |