Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608g |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
403458193387210752 = 211 · 36 · 74 · 1034 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204384,-18259308] |
[a1,a2,a3,a4,a6] |
j |
461037836047465154/197001070989849 |
j-invariant |
L |
2.8002357115438 |
L(r)(E,1)/r! |
Ω |
0.23335297596376 |
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 |
17304d3 103824q4 |
Quadratic twists by: -4 -3 |