Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400gk |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-569184000000000000 = -1 · 217 · 3 · 512 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,124592,32151188] |
[a1,a2,a3,a4,a6] |
j |
3342032927351/8893500000 |
j-invariant |
L |
3.2635385630454 |
L(r)(E,1)/r! |
Ω |
0.20397115844434 |
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 |
11550bp2 18480bz2 |
Quadratic twists by: -4 5 |