Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005v |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3.9093046249127E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1086748,9522687731] |
[a1,a2,a3,a4,a6] |
j |
-1206483665501332009/332285410408308525 |
j-invariant |
L |
5.2443834215332 |
L(r)(E,1)/r! |
Ω |
0.093649703962204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8715c4 |
Quadratic twists by: -7 |