Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824j |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-18087806300585984 = -1 · 220 · 297 |
Discriminant |
Eigenvalues |
2+ -3 3 -2 -1 -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63916,8975152] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:3364:1] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
3.3298293826046 |
L(r)(E,1)/r! |
Ω |
0.35883367472424 |
Real period |
R |
1.1599487510355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824be1 1682g1 1856f1 |
Quadratic twists by: -4 8 29 |