Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528by |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
422550360064 = 212 · 73 · 673 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1939,-10094] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-56:1] [-17:-134:1] |
Generators of the group modulo torsion |
j |
573856191/300763 |
j-invariant |
L |
5.4474665114664 |
L(r)(E,1)/r! |
Ω |
0.76255697681181 |
Real period |
R |
0.29765352388504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3283b1 52528bw1 |
Quadratic twists by: -4 -7 |