Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120k |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-138801600 = -1 · 26 · 36 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50,600] |
[a1,a2,a3,a4,a6] |
j |
-220348864/2168775 |
j-invariant |
L |
3.1413588482446 |
L(r)(E,1)/r! |
Ω |
1.5706794232691 |
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 |
57120cm1 114240cx1 |
Quadratic twists by: -4 8 |