Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080ce |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-1.7638154647836E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,961960,526071828] |
[a1,a2,a3,a4,a6] |
Generators |
[1468:71442:1] |
Generators of the group modulo torsion |
j |
24034459157212006439/43061900995693440 |
j-invariant |
L |
9.0701507745942 |
L(r)(E,1)/r! |
Ω |
0.12389143527753 |
Real period |
R |
0.4306498505435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510d1 |
Quadratic twists by: -4 |