Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325l |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
66329033203125 = 36 · 510 · 7 · 113 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-401250,97828906] |
[a1,a2,a3,a4,a6] |
Generators |
[364:49:1] |
Generators of the group modulo torsion |
j |
1003555225600/9317 |
j-invariant |
L |
3.8912468765683 |
L(r)(E,1)/r! |
Ω |
0.55836698491835 |
Real period |
R |
1.1614962266968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1925b2 17325bt2 121275dr2 |
Quadratic twists by: -3 5 -7 |