Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200bn |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
763200000000 = 212 · 32 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 3 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,9963] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:228:1] |
Generators of the group modulo torsion |
j |
878080/477 |
j-invariant |
L |
7.8872690799675 |
L(r)(E,1)/r! |
Ω |
0.7830508425203 |
Real period |
R |
2.5181216547715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999323183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200cq1 127200cl1 |
Quadratic twists by: -4 5 |