Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052b |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-201459520942848 = -1 · 28 · 33 · 72 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13347,333369] |
[a1,a2,a3,a4,a6] |
Generators |
[-49904:1682841:4096] |
Generators of the group modulo torsion |
j |
20960715776000/16060229667 |
j-invariant |
L |
3.8580447229373 |
L(r)(E,1)/r! |
Ω |
0.36168535080448 |
Real period |
R |
5.3334268506536 |
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 |
68208cg2 51156u2 17052i2 |
Quadratic twists by: -4 -3 -7 |