Atkin-Lehner |
5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52675p |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-1976135546875 = -1 · 58 · 76 · 43 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- 4 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2042,58244] |
[a1,a2,a3,a4,a6] |
Generators |
[58:612:1] |
Generators of the group modulo torsion |
j |
20480/43 |
j-invariant |
L |
1.6835670236931 |
L(r)(E,1)/r! |
Ω |
0.57464044955363 |
Real period |
R |
0.48829577550154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52675j1 1075h1 |
Quadratic twists by: 5 -7 |