Atkin-Lehner |
2- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240t |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-46378720000 = -1 · 28 · 54 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 2 5 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,568,8956] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:85:1] |
Generators of the group modulo torsion |
j |
79164186624/181166875 |
j-invariant |
L |
7.7523455887274 |
L(r)(E,1)/r! |
Ω |
0.78908133962991 |
Real period |
R |
0.40935500966071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20060f1 |
Quadratic twists by: -4 |