Atkin-Lehner |
2+ 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752f |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-38913264 = -1 · 24 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 6 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,-999] |
[a1,a2,a3,a4,a6] |
Generators |
[16:13:1] |
Generators of the group modulo torsion |
j |
-1568892672/90077 |
j-invariant |
L |
5.6806169652902 |
L(r)(E,1)/r! |
Ω |
0.64686295985554 |
Real period |
R |
1.4636322571815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376o1 76752b1 |
Quadratic twists by: -4 -3 |