Atkin-Lehner |
2- 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932x |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
-27841968 = -1 · 24 · 36 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-1055] |
[a1,a2,a3,a4,a6] |
j |
-67108864/2387 |
j-invariant |
L |
1.9198126648987 |
L(r)(E,1)/r! |
Ω |
0.63993754928042 |
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 |
9548a1 |
Quadratic twists by: -3 |