Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520de |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-5.2517161350023E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3133443,2163200002] |
[a1,a2,a3,a4,a6] |
Generators |
[82436:1040193:64] |
Generators of the group modulo torsion |
j |
-1139466686381936641/17587891077120 |
j-invariant |
L |
6.8980128521939 |
L(r)(E,1)/r! |
Ω |
0.20010436734045 |
Real period |
R |
8.6180188663866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190l1 21840cl1 |
Quadratic twists by: -4 -3 |