Atkin-Lehner |
2- 3- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624s |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-97031389446144 = -1 · 223 · 38 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 0 5 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7584,535284] |
[a1,a2,a3,a4,a6] |
Generators |
[90:768:1] |
Generators of the group modulo torsion |
j |
-11779205551777/23689304064 |
j-invariant |
L |
11.417292788102 |
L(r)(E,1)/r! |
Ω |
0.53398740179409 |
Real period |
R |
0.66816257890511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10578g1 |
Quadratic twists by: -4 |