Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450ey |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4166658184500 = -1 · 22 · 38 · 53 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2210,-105483] |
[a1,a2,a3,a4,a6] |
Generators |
[89:585:1] |
Generators of the group modulo torsion |
j |
-13094193293/45724644 |
j-invariant |
L |
11.312353374831 |
L(r)(E,1)/r! |
Ω |
0.31968998625842 |
Real period |
R |
1.1057932939678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150u2 72450by2 |
Quadratic twists by: -3 5 |