Atkin-Lehner |
2+ 3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11346b |
Isogeny class |
Conductor |
11346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2575326426 = 2 · 3 · 31 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1069,-13685] |
[a1,a2,a3,a4,a6] |
j |
135298025329753/2575326426 |
j-invariant |
L |
1.6716075303072 |
L(r)(E,1)/r! |
Ω |
0.83580376515361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90768j4 34038j4 |
Quadratic twists by: -4 -3 |