Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330s |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.7734708414284E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2926485,-1816563659] |
[a1,a2,a3,a4,a6] |
Generators |
[-4747437:-48761579:4913] |
Generators of the group modulo torsion |
j |
32318182904349889/2067798824000 |
j-invariant |
L |
3.6020237793423 |
L(r)(E,1)/r! |
Ω |
0.11589165521757 |
Real period |
R |
7.7702397392422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370v3 8190x3 |
Quadratic twists by: -3 -7 |