Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bm |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
3.1326952337256E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1120697,-369169446] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:5442:1] |
Generators of the group modulo torsion |
j |
9729012135299246768128/1957934521078501869 |
j-invariant |
L |
4.4350425266675 |
L(r)(E,1)/r! |
Ω |
0.14880120190635 |
Real period |
R |
5.9610305156252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12084b1 |
Quadratic twists by: -4 |