Atkin-Lehner |
3+ 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025b |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
796584140625 = 3 · 57 · 7 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6797518000,-215714513223125] |
[a1,a2,a3,a4,a6] |
Generators |
[-6837011169978977864842165656137922488903019715550012223120136884678138402:3418505762603673243165403282089316644017142523008503599878584459432869703:143630916654383559196556948814902603563900715456253263921205275836808] |
Generators of the group modulo torsion |
j |
2223078431146103920394771700481/50981385 |
j-invariant |
L |
6.9732253166982 |
L(r)(E,1)/r! |
Ω |
0.016626925968815 |
Real period |
R |
104.84838559667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205o8 |
Quadratic twists by: 5 |