Atkin-Lehner |
3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477l |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
49266812889 = 32 · 77 · 172 · 23 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1202,11855] |
[a1,a2,a3,a4,a6] |
Generators |
[54:479:8] |
Generators of the group modulo torsion |
j |
1630532233/418761 |
j-invariant |
L |
6.0860971543923 |
L(r)(E,1)/r! |
Ω |
1.0565032095123 |
Real period |
R |
2.8803022553477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211b1 |
Quadratic twists by: -7 |