Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325r |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.6218466636166E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8091567,-8836015784] |
[a1,a2,a3,a4,a6] |
Generators |
[204142:32295679:8] |
Generators of the group modulo torsion |
j |
5143681768032498601/14238434358225 |
j-invariant |
L |
5.2490480021856 |
L(r)(E,1)/r! |
Ω |
0.089528983076267 |
Real period |
R |
4.8857995681262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5775d2 3465l2 121275ek2 |
Quadratic twists by: -3 5 -7 |