Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325q |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6.2815442502882E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2671317,4167760716] |
[a1,a2,a3,a4,a6] |
Generators |
[4824:319338:1] |
Generators of the group modulo torsion |
j |
-185077034913624841/551466161890875 |
j-invariant |
L |
5.5188998689602 |
L(r)(E,1)/r! |
Ω |
0.1178831397499 |
Real period |
R |
2.9260438985747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775o4 3465k4 121275ed3 |
Quadratic twists by: -3 5 -7 |