Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bz |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
3362424016896 = 212 · 36 · 75 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -1 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11451,-463318] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:56:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
9.0520993675271 |
L(r)(E,1)/r! |
Ω |
0.46208644920436 |
Real period |
R |
0.97948115376692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4221b1 7504t1 |
Quadratic twists by: -4 -3 |