Atkin-Lehner |
3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59475j |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
34012265625 = 32 · 57 · 13 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-813,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:90:1] [-3:39:1] |
Generators of the group modulo torsion |
j |
3803721481/2176785 |
j-invariant |
L |
6.8509228941653 |
L(r)(E,1)/r! |
Ω |
0.96913609643627 |
Real period |
R |
3.5345515038339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895c1 |
Quadratic twists by: 5 |