Atkin-Lehner |
3+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989c |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.5947559863471E+20 |
Discriminant |
Eigenvalues |
1 3+ 2 2 6 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2882109,1715216400] |
[a1,a2,a3,a4,a6] |
Generators |
[22425008970:617304321477:12167000] |
Generators of the group modulo torsion |
j |
557380809612073/54625243041 |
j-invariant |
L |
9.010554295249 |
L(r)(E,1)/r! |
Ω |
0.16984927451231 |
Real period |
R |
13.262573956569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829g2 |
Quadratic twists by: 41 |