Atkin-Lehner |
3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58029a |
Isogeny class |
Conductor |
58029 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-123128427447 = -1 · 32 · 23 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 -4 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-438,-17430] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-451:1] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
0.89152694106869 |
L(r)(E,1)/r! |
Ω |
0.44675770449469 |
Real period |
R |
0.99777455673862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69a1 |
Quadratic twists by: 29 |