Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bt |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-547582418856 = -1 · 23 · 36 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1066,32717] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:37:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
9.2650047818833 |
L(r)(E,1)/r! |
Ω |
0.65902024079937 |
Real period |
R |
2.3431260072458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826c1 954f1 |
Quadratic twists by: -3 -11 |