Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136q |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31751777043873792 = 220 · 37 · 614 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81516,-2597456] |
[a1,a2,a3,a4,a6] |
j |
313461959257/166150092 |
j-invariant |
L |
1.2000238561664 |
L(r)(E,1)/r! |
Ω |
0.30000596403841 |
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 |
35136bz3 1098k3 11712l4 |
Quadratic twists by: -4 8 -3 |