Atkin-Lehner |
2+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600j |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12460937500000000 = -1 · 28 · 516 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16492,-5303012] |
[a1,a2,a3,a4,a6] |
j |
124010187824/3115234375 |
j-invariant |
L |
1.5497199509022 |
L(r)(E,1)/r! |
Ω |
0.19371496204821 |
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 |
63800h2 25520g2 |
Quadratic twists by: -4 5 |