Atkin-Lehner |
2- 3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122q |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1861221506354028 = -1 · 22 · 33 · 710 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9448,-2047705] |
[a1,a2,a3,a4,a6] |
j |
3454798282014717/68934129864964 |
j-invariant |
L |
1.8235704101495 |
L(r)(E,1)/r! |
Ω |
0.2279463012692 |
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 |
31122b2 |
Quadratic twists by: -3 |