Atkin-Lehner |
2+ 3+ 41+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17958a |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
376668044352 = 26 · 32 · 412 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7776,-265536] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:66:1] |
Generators of the group modulo torsion |
j |
52009147069297417/376668044352 |
j-invariant |
L |
2.9565250376105 |
L(r)(E,1)/r! |
Ω |
0.50861926910828 |
Real period |
R |
2.9064225612155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874h1 |
Quadratic twists by: -3 |