Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200dv |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
536625000000 = 26 · 34 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2958,-51912] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:96:1] |
Generators of the group modulo torsion |
j |
22906304/4293 |
j-invariant |
L |
6.9723587141013 |
L(r)(E,1)/r! |
Ω |
0.65574156098343 |
Real period |
R |
2.6581961206628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200cs1 127200m1 |
Quadratic twists by: -4 5 |