Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17052b |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-207645887232 = -1 · 28 · 39 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1773,-35559] |
[a1,a2,a3,a4,a6] |
Generators |
[55:174:1] |
Generators of the group modulo torsion |
j |
-49165312000/16553403 |
j-invariant |
L |
3.8580447229373 |
L(r)(E,1)/r! |
Ω |
0.36168535080448 |
Real period |
R |
1.7778089502179 |
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 |
68208cg1 51156u1 17052i1 |
Quadratic twists by: -4 -3 -7 |