Atkin-Lehner |
2- 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440w |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-309304000000000000 = -1 · 215 · 512 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197840,-43098688] |
[a1,a2,a3,a4,a6] |
j |
-209077967421959761/75513671875000 |
j-invariant |
L |
2.6681633981888 |
L(r)(E,1)/r! |
Ω |
0.11117347557367 |
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 |
9430h2 |
Quadratic twists by: -4 |