Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335d |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4904105600535 = 3 · 5 · 836 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-551263,-157768262] |
[a1,a2,a3,a4,a6] |
j |
56667352321/15 |
j-invariant |
L |
0.35042048319669 |
L(r)(E,1)/r! |
Ω |
0.17521034627659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a7 |
Quadratic twists by: -83 |