Atkin-Lehner |
2- 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44676l |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3517430832 = -1 · 24 · 311 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 4 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,-9227] |
[a1,a2,a3,a4,a6] |
Generators |
[71:540:1] |
Generators of the group modulo torsion |
j |
-4927700992/301563 |
j-invariant |
L |
6.0277112304247 |
L(r)(E,1)/r! |
Ω |
0.44670343339156 |
Real period |
R |
3.3734412922773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892g1 |
Quadratic twists by: -3 |