Atkin-Lehner |
2- 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bm |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
171885182976 = 214 · 39 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -3 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3051,61722] |
[a1,a2,a3,a4,a6] |
j |
38958219/2132 |
j-invariant |
L |
4.0094520050062 |
L(r)(E,1)/r! |
Ω |
1.0023630148804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594o1 76752bk1 |
Quadratic twists by: -4 -3 |