Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dg |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
48 |
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] |
j |
41242421375/11606519808 |
j-invariant |
L |
2.5379351035995 |
L(r)(E,1)/r! |
Ω |
0.21149459196975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408a1 14352u1 |
Quadratic twists by: -4 8 |