Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088k |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-64755937161216 = -1 · 212 · 35 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 6 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15965,872949] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1372:1] |
Generators of the group modulo torsion |
j |
-109874708379136/15809554971 |
j-invariant |
L |
6.1067895963026 |
L(r)(E,1)/r! |
Ω |
0.59986272561077 |
Real period |
R |
0.72716513005133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53088h1 106176t1 |
Quadratic twists by: -4 8 |