Atkin-Lehner |
5+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
115885i |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20152393170765625 = 56 · 78 · 112 · 432 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70030,2074575] |
[a1,a2,a3,a4,a6] |
j |
322842974085801/171292515625 |
j-invariant |
L |
2.6956722241507 |
L(r)(E,1)/r! |
Ω |
0.33695909392221 |
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 |
16555g2 |
Quadratic twists by: -7 |