Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032q |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3635560448 = -1 · 214 · 133 · 101 |
Discriminant |
Eigenvalues |
2- 1 0 -2 0 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,207,2735] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] |
Generators of the group modulo torsion |
j |
59582000/221897 |
j-invariant |
L |
6.7360194223135 |
L(r)(E,1)/r! |
Ω |
0.99725620265935 |
Real period |
R |
1.6886381354308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032d1 21008i1 |
Quadratic twists by: -4 8 |