Atkin-Lehner |
3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
79497n |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
102667829131593 = 38 · 118 · 73 |
Discriminant |
Eigenvalues |
-1 3- 4 -2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201488,-34757566] |
[a1,a2,a3,a4,a6] |
j |
700463661841/79497 |
j-invariant |
L |
1.8027286571628 |
L(r)(E,1)/r! |
Ω |
0.22534108657518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26499l1 7227c1 |
Quadratic twists by: -3 -11 |