Atkin-Lehner |
3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17157c |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
977949 = 32 · 7 · 192 · 43 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1606,24115] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:217:1] [18:29:1] |
Generators of the group modulo torsion |
j |
458545882081897/977949 |
j-invariant |
L |
6.7752069149015 |
L(r)(E,1)/r! |
Ω |
2.3962731804988 |
Real period |
R |
2.8273933748615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51471k2 120099q2 |
Quadratic twists by: -3 -7 |