Atkin-Lehner |
2+ 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088c |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11558744064 = 212 · 36 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20609,1145649] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:567:1] [29:756:1] |
Generators of the group modulo torsion |
j |
236349993535552/2821959 |
j-invariant |
L |
7.7322217815886 |
L(r)(E,1)/r! |
Ω |
1.1569362076705 |
Real period |
R |
1.6708401315311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53088q2 106176u1 |
Quadratic twists by: -4 8 |