Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128a |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
40849940736 = 28 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-999,-7290] |
[a1,a2,a3,a4,a6] |
Generators |
[37:80:1] |
Generators of the group modulo torsion |
j |
21882096/8107 |
j-invariant |
L |
5.7564529027921 |
L(r)(E,1)/r! |
Ω |
0.87572684577791 |
Real period |
R |
3.2866714859122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064c1 106128d1 |
Quadratic twists by: -4 -3 |