Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bz |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-15104937114408960 = -1 · 211 · 39 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39681,-5080307] |
[a1,a2,a3,a4,a6] |
j |
1644195791/3594240 |
j-invariant |
L |
2.4540130154408 |
L(r)(E,1)/r! |
Ω |
0.20450108451429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bn1 57330y1 |
Quadratic twists by: -3 -7 |