Atkin-Lehner |
3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685g |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2578673930625 = 38 · 54 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178425,-28964264] |
[a1,a2,a3,a4,a6] |
j |
861717016726534801/3537275625 |
j-invariant |
L |
1.8583418535325 |
L(r)(E,1)/r! |
Ω |
0.23229273169494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11895e2 |
Quadratic twists by: -3 |