Atkin-Lehner |
2- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400cs |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
632000 = 26 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-528,-4498] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2130:1] [2867:153480:1] |
Generators of the group modulo torsion |
j |
2038720832/79 |
j-invariant |
L |
15.529139529449 |
L(r)(E,1)/r! |
Ω |
0.99580330073381 |
Real period |
R |
31.189170625345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400cp1 63200k2 126400ct1 |
Quadratic twists by: -4 8 5 |