Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eh |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
117405243036900 = 22 · 310 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14783,-451069] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:436:1] |
Generators of the group modulo torsion |
j |
4165509529/1368900 |
j-invariant |
L |
8.9721386305259 |
L(r)(E,1)/r! |
Ω |
0.44434619299149 |
Real period |
R |
2.523971953638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110bh2 1170m2 |
Quadratic twists by: -3 -7 |