Atkin-Lehner |
2+ 5- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17170g |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-875755850 = -1 · 2 · 52 · 17 · 1013 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 1 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,132,1308] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
257138126279/875755850 |
j-invariant |
L |
4.5219606786743 |
L(r)(E,1)/r! |
Ω |
1.1187344537468 |
Real period |
R |
2.0210160970415 |
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 |
85850m1 |
Quadratic twists by: 5 |