Atkin-Lehner |
3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975v |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
394628203125 = 36 · 57 · 132 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27151,-1723927] |
[a1,a2,a3,a4,a6] |
j |
141657046142689/25256205 |
j-invariant |
L |
2.2315720336858 |
L(r)(E,1)/r! |
Ω |
0.37192867228626 |
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 |
119925bf2 7995a2 |
Quadratic twists by: -3 5 |