Atkin-Lehner |
2+ 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504g |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20824188217344 = 211 · 312 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21891,-1227170] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:76:1] [230:2430:1] |
Generators of the group modulo torsion |
j |
777075174146/13947957 |
j-invariant |
L |
9.8547657107126 |
L(r)(E,1)/r! |
Ω |
0.39292193869136 |
Real period |
R |
12.540360743793 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168q2 |
Quadratic twists by: -3 |