Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810es |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
Δ |
7.2435209009625E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22912367,42199526391] |
[a1,a2,a3,a4,a6] |
Generators |
[3221:-44136:1] |
Generators of the group modulo torsion |
j |
1824761196437603639174569/993624266250000000 |
j-invariant |
L |
13.283500019984 |
L(r)(E,1)/r! |
Ω |
0.15840559145643 |
Real period |
R |
0.19966076181481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270e2 |
Quadratic twists by: -3 |