Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640bj |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
50440968000 = 26 · 38 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13593,-609892] |
[a1,a2,a3,a4,a6] |
Generators |
[4116:25048:27] |
Generators of the group modulo torsion |
j |
5953360210624/1081125 |
j-invariant |
L |
5.193336840719 |
L(r)(E,1)/r! |
Ω |
0.44215593416551 |
Real period |
R |
5.8727435723796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640p1 89280ci2 14880d1 |
Quadratic twists by: -4 8 -3 |