Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824h |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1763704832 = 221 · 292 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 -6 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9473,-358049] |
[a1,a2,a3,a4,a6] |
Generators |
[-1527:64:27] |
Generators of the group modulo torsion |
j |
426477625/8 |
j-invariant |
L |
3.2206270202673 |
L(r)(E,1)/r! |
Ω |
0.48392085493839 |
Real period |
R |
1.6638190870442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824z2 1682f2 53824o2 |
Quadratic twists by: -4 8 29 |