Atkin-Lehner |
2+ 3- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
83448c |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32032 |
Modular degree for the optimal curve |
Δ |
-1730377728 = -1 · 211 · 36 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -3 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,1998] |
[a1,a2,a3,a4,a6] |
j |
6750/1159 |
j-invariant |
L |
1.1505713154103 |
L(r)(E,1)/r! |
Ω |
1.150571360052 |
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 |
9272d1 |
Quadratic twists by: -3 |