Atkin-Lehner |
3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475d |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-2750914729974609375 = -1 · 3 · 59 · 232 · 316 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144938,82516406] |
[a1,a2,a3,a4,a6] |
j |
-21550168287662041/176058542718375 |
j-invariant |
L |
1.749537321759 |
L(r)(E,1)/r! |
Ω |
0.21869216502441 |
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 |
10695e1 |
Quadratic twists by: 5 |