Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680m |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
516326400000000 = 216 · 35 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20225,181377] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1120:1] |
Generators of the group modulo torsion |
j |
13961460287236/7878515625 |
j-invariant |
L |
7.3494142953465 |
L(r)(E,1)/r! |
Ω |
0.4497442608362 |
Real period |
R |
2.0426648345734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bz1 9960d1 |
Quadratic twists by: -4 8 |