Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800bz |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-27520000 = -1 · 210 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -5 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,163] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] [3:20:1] |
Generators of the group modulo torsion |
j |
51200/43 |
j-invariant |
L |
5.7614707603433 |
L(r)(E,1)/r! |
Ω |
1.3646474929364 |
Real period |
R |
0.70365800083754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800ej1 8600e1 68800bj1 |
Quadratic twists by: -4 8 5 |