Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552ba |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
-75562647552 = -1 · 215 · 34 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -5 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92001,-10710207] |
[a1,a2,a3,a4,a6] |
Generators |
[1767:73080:1] |
Generators of the group modulo torsion |
j |
-2628186265656008/2305989 |
j-invariant |
L |
7.3723539489696 |
L(r)(E,1)/r! |
Ω |
0.13706324379526 |
Real period |
R |
4.4823310431248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552bg1 55776r1 |
Quadratic twists by: -4 8 |