Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775bj |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2419539609375 = 37 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17442,887841] |
[a1,a2,a3,a4,a6] |
Generators |
[64:143:1] |
Generators of the group modulo torsion |
j |
51520374361/212415 |
j-invariant |
L |
6.5588722234523 |
L(r)(E,1)/r! |
Ω |
0.8197929760434 |
Real period |
R |
1.0000805714248 |
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 |
8925ba2 5355e2 |
Quadratic twists by: -3 5 |