Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400y |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1896129000000000000 = -1 · 212 · 38 · 512 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-626700,-202124000] |
[a1,a2,a3,a4,a6] |
j |
-583438782016/40640625 |
j-invariant |
L |
5.4080988526616 |
L(r)(E,1)/r! |
Ω |
0.084501544590811 |
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 |
122400dj2 40800bv2 24480bc2 |
Quadratic twists by: -4 -3 5 |