Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960bb |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
594584064000 = 212 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 -7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2808,43632] |
[a1,a2,a3,a4,a6] |
Generators |
[12:108:1] |
Generators of the group modulo torsion |
j |
30371328/7375 |
j-invariant |
L |
4.0333056486206 |
L(r)(E,1)/r! |
Ω |
0.86102490824935 |
Real period |
R |
1.1710769374997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960y1 84960c1 |
Quadratic twists by: -4 -3 |