Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696w |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
254880 |
Modular degree for the optimal curve |
Δ |
-37588592026706176 = -1 · 28 · 598 |
Discriminant |
Eigenvalues |
2- -2 1 0 -2 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68460,6305896] |
[a1,a2,a3,a4,a6] |
Generators |
[39066522:1871183503:551368] |
Generators of the group modulo torsion |
j |
944 |
j-invariant |
L |
3.545693463092 |
L(r)(E,1)/r! |
Ω |
0.2417028732877 |
Real period |
R |
14.669637207105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13924c1 55696v1 |
Quadratic twists by: -4 -59 |