Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475v |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1362384611328125 = 59 · 78 · 112 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1599263,777776656] |
[a1,a2,a3,a4,a6] |
j |
1968634623437/5929 |
j-invariant |
L |
0.8384657983002 |
L(r)(E,1)/r! |
Ω |
0.4192328991501 |
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 |
121275fu2 13475s2 1925m2 |
Quadratic twists by: -3 5 -7 |