Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680es |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.0825414660096E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34232043,-72313882342] |
[a1,a2,a3,a4,a6] |
Generators |
[299197042:12929983101:39304] |
Generators of the group modulo torsion |
j |
1485712211163154851241/103233690000000000 |
j-invariant |
L |
6.3359468927293 |
L(r)(E,1)/r! |
Ω |
0.062688416994538 |
Real period |
R |
12.633807005994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971068 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10710ba2 28560cz2 |
Quadratic twists by: -4 -3 |