Atkin-Lehner |
3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019q |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19474855568032683 = -1 · 3 · 72 · 1310 · 312 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126416,-18567859] |
[a1,a2,a3,a4,a6] |
j |
-46287613842625/4034726787 |
j-invariant |
L |
0.50387577621096 |
L(r)(E,1)/r! |
Ω |
0.12596908039883 |
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 |
8463k2 |
Quadratic twists by: 13 |