Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136o |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-133330157568 = -1 · 214 · 37 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-17584] |
[a1,a2,a3,a4,a6] |
j |
-35152/11163 |
j-invariant |
L |
1.8602257914237 |
L(r)(E,1)/r! |
Ω |
0.46505644785842 |
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 |
35136bx2 4392e2 11712d2 |
Quadratic twists by: -4 8 -3 |