Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cy |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
160204849218750 = 2 · 3 · 58 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-911646,334956390] |
[a1,a2,a3,a4,a6] |
Generators |
[67912657158:1092220838921:77308776] |
Generators of the group modulo torsion |
j |
712220047730467921/1361718750 |
j-invariant |
L |
13.045475250937 |
L(r)(E,1)/r! |
Ω |
0.49365318070402 |
Real period |
R |
13.213198810597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430z3 |
Quadratic twists by: -7 |