Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760b |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114161400000000 = 29 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77043,-8214842] |
[a1,a2,a3,a4,a6] |
j |
135495783169928/305859375 |
j-invariant |
L |
1.1463973004967 |
L(r)(E,1)/r! |
Ω |
0.28659932512835 |
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 |
41760v4 83520dh4 13920bh3 |
Quadratic twists by: -4 8 -3 |