Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cl |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.6166763261031E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-181388783,-920134038473] |
[a1,a2,a3,a4,a6] |
Generators |
[-890695:-12384224:125] |
Generators of the group modulo torsion |
j |
33532327439675728647114123/821356666211014472000 |
j-invariant |
L |
9.3236582163432 |
L(r)(E,1)/r! |
Ω |
0.041199823029831 |
Real period |
R |
4.7146532123883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810r2 |
Quadratic twists by: -3 |