Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41912d |
Isogeny class |
Conductor |
41912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9499777943552 = 211 · 136 · 312 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5464,-48528] |
[a1,a2,a3,a4,a6] |
j |
1825346/961 |
j-invariant |
L |
0.5889580624338 |
L(r)(E,1)/r! |
Ω |
0.58895806254278 |
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 |
83824c2 248b2 |
Quadratic twists by: -4 13 |