Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bx |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
-1.6155287142279E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1919673,-2188878969] |
[a1,a2,a3,a4,a6] |
j |
-6258863543764100441381/12924229713823531008 |
j-invariant |
L |
3.8518644486075 |
L(r)(E,1)/r! |
Ω |
0.060185382062247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650ba1 |
Quadratic twists by: 5 |