Atkin-Lehner |
2- 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490z |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-3672060480 = -1 · 26 · 39 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,54,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:30:1] |
Generators of the group modulo torsion |
j |
17394111071/3672060480 |
j-invariant |
L |
7.4220523971665 |
L(r)(E,1)/r! |
Ω |
1.082791791322 |
Real period |
R |
1.1424252961419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52470t1 87450e1 |
Quadratic twists by: -3 5 |