Atkin-Lehner |
2+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34138d |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-23644867379913728 = -1 · 210 · 133 · 1015 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 0 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17696,-7460864] |
[a1,a2,a3,a4,a6] |
j |
-278969889446821/10762342913024 |
j-invariant |
L |
0.66264544111223 |
L(r)(E,1)/r! |
Ω |
0.16566136027561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34138j2 |
Quadratic twists by: 13 |