Atkin-Lehner |
2+ 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170o |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4885853040527343750 = 2 · 39 · 512 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2423529,1448886703] |
[a1,a2,a3,a4,a6] |
Generators |
[-1483:42929:1] [-5114:421057:8] |
Generators of the group modulo torsion |
j |
2159439032998908705169/6702130371093750 |
j-invariant |
L |
7.3475983971226 |
L(r)(E,1)/r! |
Ω |
0.24424694534426 |
Real period |
R |
0.62672213317172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390i2 |
Quadratic twists by: -3 |