Atkin-Lehner |
3+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391b |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
9165057 = 3 · 11 · 172 · 312 |
Discriminant |
Eigenvalues |
-1 3+ -4 0 11- 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-655,-6724] |
[a1,a2,a3,a4,a6] |
Generators |
[34:91:1] |
Generators of the group modulo torsion |
j |
31080575499121/9165057 |
j-invariant |
L |
2.0561231900524 |
L(r)(E,1)/r! |
Ω |
0.94372065772184 |
Real period |
R |
2.1787413184489 |
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 |
52173i1 |
Quadratic twists by: -3 |