Atkin-Lehner |
5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52675i |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-5829204636171875 = -1 · 57 · 79 · 432 |
Discriminant |
Eigenvalues |
2 1 5+ 7- -3 -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,3673219] |
[a1,a2,a3,a4,a6] |
Generators |
[-9308:52643:64] |
Generators of the group modulo torsion |
j |
-4096/3171035 |
j-invariant |
L |
13.66148665463 |
L(r)(E,1)/r! |
Ω |
0.3392433989819 |
Real period |
R |
2.5169035520855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10535b1 7525b1 |
Quadratic twists by: 5 -7 |