Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360hy |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
3.4710162740763E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239706840,1112137831188] |
[a1,a2,a3,a4,a6] |
j |
3160944030998056790089/720291785342976000 |
j-invariant |
L |
3.6577532352211 |
L(r)(E,1)/r! |
Ω |
0.050802136605694 |
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 |
16170m3 18480bn3 |
Quadratic twists by: -4 -7 |