Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640o |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-680965089400000000 = -1 · 29 · 58 · 237 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19573,-39688754] |
[a1,a2,a3,a4,a6] |
j |
10941048/8984375 |
j-invariant |
L |
0.53503442554246 |
L(r)(E,1)/r! |
Ω |
0.13375863158191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84640p2 3680d4 |
Quadratic twists by: -4 -23 |