Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cc |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-161546783125000000 = -1 · 26 · 510 · 76 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,121862,-10278108] |
[a1,a2,a3,a4,a6] |
j |
174196775/140608 |
j-invariant |
L |
3.2279641874322 |
L(r)(E,1)/r! |
Ω |
0.17933134374636 |
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 |
31850bk2 650i2 |
Quadratic twists by: 5 -7 |