Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320a |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3893963401025E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256902383,-1583879368418] |
[a1,a2,a3,a4,a6] |
Generators |
[-13329620476467715895866216616992813260093747:15468468480870278124012738081763028748229756:1413104796351401668349288266949726057957] |
Generators of the group modulo torsion |
j |
7324671382685482670474063184/5427329453525439453125 |
j-invariant |
L |
5.090843036949 |
L(r)(E,1)/r! |
Ω |
0.037711763219464 |
Real period |
R |
67.496751707456 |
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 |
39160d2 |
Quadratic twists by: -4 |