Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200dd |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
2047761000000 = 26 · 36 · 56 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23858,-1424712] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1428:1] |
Generators of the group modulo torsion |
j |
1501910377408/2047761 |
j-invariant |
L |
10.171902065709 |
L(r)(E,1)/r! |
Ω |
0.38417145097179 |
Real period |
R |
4.4129177469264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828686 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127200d1 5088b1 |
Quadratic twists by: -4 5 |