Atkin-Lehner |
2- 5- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72080g |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
1770645200 = 24 · 52 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -4 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345,-1300] |
[a1,a2,a3,a4,a6] |
j |
284655271936/110665325 |
j-invariant |
L |
2.2894864581449 |
L(r)(E,1)/r! |
Ω |
1.1447432163377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18020a1 |
Quadratic twists by: -4 |