Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810et |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
10240 |
Product of Tamagawa factors cp |
Δ |
3.5255378765376E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22942607,-31186597161] |
[a1,a2,a3,a4,a6] |
Generators |
[9647:-808074:1] |
Generators of the group modulo torsion |
j |
1831995757526953572100009/483612877440000000000 |
j-invariant |
L |
13.373830514967 |
L(r)(E,1)/r! |
Ω |
0.070337267731602 |
Real period |
R |
0.29709158174457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002568 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270f2 |
Quadratic twists by: -3 |