Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180g |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
11362602240 = 28 · 39 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,6388] |
[a1,a2,a3,a4,a6] |
j |
268435456/60885 |
j-invariant |
L |
2.4030290995928 |
L(r)(E,1)/r! |
Ω |
1.2015145582962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27060m1 |
Quadratic twists by: -3 |