Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408a |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-3042579528548352 = -1 · 230 · 36 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4607,2649601] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:324:1] |
Generators of the group modulo torsion |
j |
41242421375/11606519808 |
j-invariant |
L |
4.3221991485588 |
L(r)(E,1)/r! |
Ω |
0.34870107292545 |
Real period |
R |
3.0987853811132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dg1 1794i1 |
Quadratic twists by: -4 8 |