Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512s |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36730360009728 = 210 · 310 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49899,-4280362] |
[a1,a2,a3,a4,a6] |
j |
18406522832548/49203693 |
j-invariant |
L |
2.5558566914097 |
L(r)(E,1)/r! |
Ω |
0.31948198105933 |
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 |
42504q4 |
Quadratic twists by: -3 |