Atkin-Lehner |
2+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13454a |
Isogeny class |
Conductor |
13454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
334333286676872 = 23 · 72 · 318 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45347,-3599891] |
[a1,a2,a3,a4,a6] |
j |
11619959625/376712 |
j-invariant |
L |
0.65562367234789 |
L(r)(E,1)/r! |
Ω |
0.32781183617394 |
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 |
107632k2 121086x2 94178d2 434a2 |
Quadratic twists by: -4 -3 -7 -31 |