Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450ey |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4929498000 = 24 · 37 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3110,-65883] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:195:8] |
Generators of the group modulo torsion |
j |
36495256013/54096 |
j-invariant |
L |
11.312353374831 |
L(r)(E,1)/r! |
Ω |
0.63937997251684 |
Real period |
R |
2.2115865879357 |
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 |
24150u1 72450by1 |
Quadratic twists by: -3 5 |