Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400bx |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
79000000 = 26 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -6 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] |
Generators of the group modulo torsion |
j |
140608/79 |
j-invariant |
L |
4.5526427935001 |
L(r)(E,1)/r! |
Ω |
1.6658011980044 |
Real period |
R |
2.7330048772823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400bk1 63200h1 5056u1 |
Quadratic twists by: -4 8 5 |