Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cz |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
69711374617869600 = 25 · 310 · 52 · 72 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1268258,-549278719] |
[a1,a2,a3,a4,a6] |
Generators |
[-645:637:1] |
Generators of the group modulo torsion |
j |
309470099236718920921/95626028282400 |
j-invariant |
L |
10.144537468096 |
L(r)(E,1)/r! |
Ω |
0.14226751056931 |
Real period |
R |
1.7826518208073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bm2 |
Quadratic twists by: -3 |