Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900m |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17297280 |
Modular degree for the optimal curve |
Δ |
-5.5533351228881E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-435201258,-3673671463363] |
[a1,a2,a3,a4,a6] |
Generators |
[54471575022810079585854221034275372068888417812224446724571099051314929656386274835937:16480131716984099735392251989512673613232900824340664249286466195956124894032077008828125:564809848287561585130529886501131112659057196341764270724130457951417847922058891] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
8.5321844297658 |
L(r)(E,1)/r! |
Ω |
0.016469009662773 |
Real period |
R |
129.5187841357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780m1 53900d1 |
Quadratic twists by: 5 -7 |