Atkin-Lehner |
3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195v |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
154555641206776125 = 322 · 53 · 312 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207864,31241623] |
[a1,a2,a3,a4,a6] |
j |
1362495887162310529/212010481765125 |
j-invariant |
L |
1.8638442181704 |
L(r)(E,1)/r! |
Ω |
0.31064070326181 |
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 |
19065a2 |
Quadratic twists by: -3 |