Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136q |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
102397561012224 = 222 · 38 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46956,3886000] |
[a1,a2,a3,a4,a6] |
j |
59914169497/535824 |
j-invariant |
L |
1.2000238561664 |
L(r)(E,1)/r! |
Ω |
0.60001192807683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35136bz2 1098k2 11712l2 |
Quadratic twists by: -4 8 -3 |