Atkin-Lehner |
3- 5+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
76095d |
Isogeny class |
Conductor |
76095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
205713320625 = 37 · 54 · 19 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6413,-194844] |
[a1,a2,a3,a4,a6] |
j |
40005197022601/282185625 |
j-invariant |
L |
1.0674662784834 |
L(r)(E,1)/r! |
Ω |
0.53373313505184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25365e1 |
Quadratic twists by: -3 |