Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560y |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
1831698000 = 24 · 32 · 53 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-3344] |
[a1,a2,a3,a4,a6] |
Generators |
[28:66:1] |
Generators of the group modulo torsion |
j |
770799714304/114481125 |
j-invariant |
L |
3.9923671753276 |
L(r)(E,1)/r! |
Ω |
1.0293998330068 |
Real period |
R |
1.9391722481684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140h1 |
Quadratic twists by: -4 |