Atkin-Lehner |
3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53067n |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
5.022621979679E+19 |
Discriminant |
Eigenvalues |
1 3- 4 7- -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-973264,142452209] |
[a1,a2,a3,a4,a6] |
Generators |
[-44505:2655722:125] |
Generators of the group modulo torsion |
j |
2685619/1323 |
j-invariant |
L |
11.010805806361 |
L(r)(E,1)/r! |
Ω |
0.17782144195178 |
Real period |
R |
10.320095714743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581a1 53067e1 |
Quadratic twists by: -7 -19 |