Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bl |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-61515562752 = -1 · 28 · 36 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,925,4771] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:62:1] |
Generators of the group modulo torsion |
j |
350402625/246016 |
j-invariant |
L |
8.3332563242856 |
L(r)(E,1)/r! |
Ω |
0.7015197381928 |
Real period |
R |
0.74242888961267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038c1 27342z1 |
Quadratic twists by: -3 -7 |