Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496g |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
64365370852507648 = 223 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17806273,-28914686527] |
[a1,a2,a3,a4,a6] |
j |
413160293352625/42592 |
j-invariant |
L |
1.3229054436408 |
L(r)(E,1)/r! |
Ω |
0.073494746869589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496ca2 1078g2 34496bh2 |
Quadratic twists by: -4 8 -7 |