Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bk |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1364761903104 = -1 · 217 · 39 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -1 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,621,55890] |
[a1,a2,a3,a4,a6] |
Generators |
[18:270:1] |
Generators of the group modulo torsion |
j |
621/32 |
j-invariant |
L |
6.5733154477497 |
L(r)(E,1)/r! |
Ω |
0.65021608770996 |
Real period |
R |
2.5273580472621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9522a1 76176bn1 76176bm1 |
Quadratic twists by: -4 -3 -23 |