Atkin-Lehner |
3- 11- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75933j |
Isogeny class |
Conductor |
75933 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2264064 |
Modular degree for the optimal curve |
Δ |
5048140783607376741 = 317 · 114 · 13 · 593 |
Discriminant |
Eigenvalues |
-2 3- -1 0 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4523853,3701909160] |
[a1,a2,a3,a4,a6] |
Generators |
[1280:2920:1] |
Generators of the group modulo torsion |
j |
14044996548419610013696/6924747302616429 |
j-invariant |
L |
3.0331332564021 |
L(r)(E,1)/r! |
Ω |
0.23927155294798 |
Real period |
R |
0.52818879103502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25311e1 |
Quadratic twists by: -3 |