Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17052h |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
3273984 = 28 · 32 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
458752/261 |
j-invariant |
L |
5.3108000200174 |
L(r)(E,1)/r! |
Ω |
2.0874526218499 |
Real period |
R |
0.42402559339768 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208da1 51156r1 17052j1 |
Quadratic twists by: -4 -3 -7 |