Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58812h |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
-1135497163632 = -1 · 24 · 3 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 -1 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49066,4200013] |
[a1,a2,a3,a4,a6] |
Generators |
[7908:5915:64] |
Generators of the group modulo torsion |
j |
-1000939264/87 |
j-invariant |
L |
7.3633842354988 |
L(r)(E,1)/r! |
Ω |
0.83003859804012 |
Real period |
R |
2.9570449105256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812j1 |
Quadratic twists by: 13 |