Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240cq |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1497968640 = -1 · 212 · 35 · 5 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,-5901] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/365715 |
j-invariant |
L |
2.4210866767585 |
L(r)(E,1)/r! |
Ω |
0.4842173369404 |
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 |
4515b1 |
Quadratic twists by: -4 |