Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cs |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.1591239049164E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,418626,-197869932] |
[a1,a2,a3,a4,a6] |
Generators |
[429:7566:1] |
Generators of the group modulo torsion |
j |
32447412812909177/86348722636800 |
j-invariant |
L |
5.0742280566922 |
L(r)(E,1)/r! |
Ω |
0.11066930503651 |
Real period |
R |
2.8656478273455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cu2 57330w2 |
Quadratic twists by: -3 -7 |