Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784b |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2766570488007168 = 29 · 3 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385288,92144296] |
[a1,a2,a3,a4,a6] |
j |
6859000/3 |
j-invariant |
L |
0.89313890375977 |
L(r)(E,1)/r! |
Ω |
0.44656945220883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784j2 101568dh2 50784c2 |
Quadratic twists by: -4 8 -23 |