Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528bh |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2- -3 1 7- 6 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,16807] |
[a1,a2,a3,a4,a6] |
Generators |
[98:343:8] |
Generators of the group modulo torsion |
j |
442368/67 |
j-invariant |
L |
4.018452091151 |
L(r)(E,1)/r! |
Ω |
1.0933997400116 |
Real period |
R |
1.8375951375048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13132f1 52528bf1 |
Quadratic twists by: -4 -7 |