Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275o |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-867661375 = -1 · 53 · 76 · 59 |
Discriminant |
Eigenvalues |
1 -2 5- 7- -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,219,683] |
[a1,a2,a3,a4,a6] |
Generators |
[13:69:1] |
Generators of the group modulo torsion |
j |
79507/59 |
j-invariant |
L |
3.2268669085392 |
L(r)(E,1)/r! |
Ω |
1.0085153741585 |
Real period |
R |
3.1996209378331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72275p1 1475a1 |
Quadratic twists by: 5 -7 |