Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ce |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-450887680000 = -1 · 224 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -5 7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,26800] |
[a1,a2,a3,a4,a6] |
Generators |
[24:268:1] |
Generators of the group modulo torsion |
j |
1482975/2752 |
j-invariant |
L |
4.4013496661874 |
L(r)(E,1)/r! |
Ω |
0.64557149284383 |
Real period |
R |
3.4088785791317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dw1 2150p1 68800c1 |
Quadratic twists by: -4 8 5 |