Atkin-Lehner |
2+ 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240d |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
378732800 = 28 · 52 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220,-768] |
[a1,a2,a3,a4,a6] |
Generators |
[543:1360:27] |
Generators of the group modulo torsion |
j |
4620876496/1479425 |
j-invariant |
L |
11.978074202121 |
L(r)(E,1)/r! |
Ω |
1.2705585728891 |
Real period |
R |
4.7137040575344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40120b1 |
Quadratic twists by: -4 |