Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335d |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1149399750125390625 = -1 · 32 · 58 · 836 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,240972,24342453] |
[a1,a2,a3,a4,a6] |
j |
4733169839/3515625 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a4 |
Quadratic twists by: -83 |