Atkin-Lehner |
2+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
80360j |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
151268378240000 = 210 · 54 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36080,-2582672] |
[a1,a2,a3,a4,a6] |
j |
43116861316/1255625 |
j-invariant |
L |
1.3880820646345 |
L(r)(E,1)/r! |
Ω |
0.34702051127088 |
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 |
11480b1 |
Quadratic twists by: -7 |