Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072cr |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1876317348298752 = 219 · 34 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46433,3223071] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1932:1] |
Generators of the group modulo torsion |
j |
42235085265625/7157582658 |
j-invariant |
L |
8.3975363556335 |
L(r)(E,1)/r! |
Ω |
0.4471731096246 |
Real period |
R |
2.3473952742215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072l2 18768i2 |
Quadratic twists by: -4 8 |