Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325b |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.5060871019678E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-961130,-164767878] |
[a1,a2,a3,a4,a6] |
j |
232747967939865867/106810953528125 |
j-invariant |
L |
1.2742947665919 |
L(r)(E,1)/r! |
Ω |
0.15928684582399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17325a2 3465b2 121275bf2 |
Quadratic twists by: -3 5 -7 |