Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366k |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-19720318174234048 = -1 · 26 · 77 · 232 · 294 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2527478,-1545987276] |
[a1,a2,a3,a4,a6] |
Generators |
[59644850732:5033630450262:7880599] |
Generators of the group modulo torsion |
j |
-15177411906818559273/167619938752 |
j-invariant |
L |
3.9865566775659 |
L(r)(E,1)/r! |
Ω |
0.059868367675499 |
Real period |
R |
16.647174594076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338d1 |
Quadratic twists by: -7 |