Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cx |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-366103800000000 = -1 · 29 · 310 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26208,-1883412] |
[a1,a2,a3,a4,a6] |
j |
-9954327560/1830519 |
j-invariant |
L |
1.8575675927973 |
L(r)(E,1)/r! |
Ω |
0.18575676123708 |
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 |
74400cg1 74400c1 |
Quadratic twists by: -4 5 |