Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900n |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
871926151250000 = 24 · 57 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104533,-12895938] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:50028:1] |
Generators of the group modulo torsion |
j |
4294967296/29645 |
j-invariant |
L |
9.8194143064347 |
L(r)(E,1)/r! |
Ω |
0.26562350482925 |
Real period |
R |
6.1612358142828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780g1 7700b1 |
Quadratic twists by: 5 -7 |