Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ga |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
77542455900000000 = 28 · 3 · 58 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-864508,308808488] |
[a1,a2,a3,a4,a6] |
j |
17863694078368336/19385613975 |
j-invariant |
L |
2.0533853591187 |
L(r)(E,1)/r! |
Ω |
0.34223093650157 |
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 |
27300c4 21840bl4 |
Quadratic twists by: -4 5 |