Atkin-Lehner |
3- 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17391g |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
9980747073 = 33 · 113 · 172 · 312 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-573,-2232] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:36:1] |
Generators of the group modulo torsion |
j |
20808220812625/9980747073 |
j-invariant |
L |
3.7184089391912 |
L(r)(E,1)/r! |
Ω |
1.0233566655749 |
Real period |
R |
1.2111805083135 |
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 |
52173m1 |
Quadratic twists by: -3 |