Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
28400d |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1733398437500000000 = -1 · 28 · 520 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-641575,-207692250] |
[a1,a2,a3,a4,a6] |
j |
-7301397935194704/433349609375 |
j-invariant |
L |
0.16811101080945 |
L(r)(E,1)/r! |
Ω |
0.084055505405371 |
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 |
14200a2 113600ch2 5680c2 |
Quadratic twists by: -4 8 5 |