Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bz |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
7294726812672 = 210 · 38 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10560,396952] |
[a1,a2,a3,a4,a6] |
Generators |
[74:144:1] |
Generators of the group modulo torsion |
j |
174456832000/9771957 |
j-invariant |
L |
7.1673013925192 |
L(r)(E,1)/r! |
Ω |
0.73311868450062 |
Real period |
R |
2.4441135517288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000202677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296a1 31824bi1 42432ce1 |
Quadratic twists by: -4 8 -3 |