Atkin-Lehner |
3- 7- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85491l |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-24105127851 = -1 · 36 · 7 · 23 · 593 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -1 3 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,333,7094] |
[a1,a2,a3,a4,a6] |
j |
5601816576/33066019 |
j-invariant |
L |
1.7326209680753 |
L(r)(E,1)/r! |
Ω |
0.86631045049744 |
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 |
9499c1 |
Quadratic twists by: -3 |