Atkin-Lehner |
2- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400ct |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
9875000000 = 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13208,-588662] |
[a1,a2,a3,a4,a6] |
Generators |
[17933:2401500:1] [1146:5539:8] |
Generators of the group modulo torsion |
j |
2038720832/79 |
j-invariant |
L |
8.7714533789979 |
L(r)(E,1)/r! |
Ω |
0.44533677453189 |
Real period |
R |
39.392450305705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400co1 63200v2 126400cs1 |
Quadratic twists by: -4 8 5 |