Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568o |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-7176388608 = -1 · 216 · 32 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,4065] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:36:1] [1:64:1] |
Generators of the group modulo torsion |
j |
4/9 |
j-invariant |
L |
6.8831324256066 |
L(r)(E,1)/r! |
Ω |
1.0395401111529 |
Real period |
R |
1.6553311301359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568dp1 12696r1 101568j1 |
Quadratic twists by: -4 8 -23 |