Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408l |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9170583552 = -1 · 218 · 32 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-4607] |
[a1,a2,a3,a4,a6] |
Generators |
[67:540:1] |
Generators of the group modulo torsion |
j |
-1/34983 |
j-invariant |
L |
7.400528058062 |
L(r)(E,1)/r! |
Ω |
0.59507886538717 |
Real period |
R |
3.1090534753599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dm1 897f1 |
Quadratic twists by: -4 8 |