Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824bc |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
7054819328 = 223 · 292 |
Discriminant |
Eigenvalues |
2- -2 2 5 0 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2977,61407] |
[a1,a2,a3,a4,a6] |
j |
13239457/32 |
j-invariant |
L |
2.6606876276774 |
L(r)(E,1)/r! |
Ω |
1.3303438132516 |
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 |
53824g1 13456h1 53824bm1 |
Quadratic twists by: -4 8 29 |