Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bd |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4172322416689152 = 216 · 33 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168795,26510858] |
[a1,a2,a3,a4,a6] |
Generators |
[-473:726:1] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
5.1562167532118 |
L(r)(E,1)/r! |
Ω |
0.44067257740822 |
Real period |
R |
2.9251971971672 |
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 |
2178g1 69696ef1 17424bc3 1584h1 |
Quadratic twists by: -4 8 -3 -11 |