Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080i |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-110976000 = -1 · 210 · 3 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
54607676/108375 |
j-invariant |
L |
3.0887373266423 |
L(r)(E,1)/r! |
Ω |
1.2950874408121 |
Real period |
R |
0.39749405192097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2040i1 16320co1 12240j1 20400v1 |
Quadratic twists by: -4 8 -3 5 |