Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798t |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-528430863051936 = -1 · 25 · 36 · 137 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18981,-463163] |
[a1,a2,a3,a4,a6] |
Generators |
[153:2374:1] |
Generators of the group modulo torsion |
j |
214921799/150176 |
j-invariant |
L |
5.3752906187958 |
L(r)(E,1)/r! |
Ω |
0.29406434165939 |
Real period |
R |
2.2849126266888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422i1 4446o1 |
Quadratic twists by: -3 13 |