Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408j |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-3552871964131196928 = -1 · 218 · 320 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1254529,548809345] |
[a1,a2,a3,a4,a6] |
Generators |
[-1263:10816:1] |
Generators of the group modulo torsion |
j |
-832964037319114273/13553130966687 |
j-invariant |
L |
4.2061647071853 |
L(r)(E,1)/r! |
Ω |
0.25036552485215 |
Real period |
R |
4.2000238548626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dl1 897e1 |
Quadratic twists by: -4 8 |