Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384df |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-295378864275456 = -1 · 215 · 37 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 -6 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7103,796511] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:156:1] [-37:696:1] |
Generators of the group modulo torsion |
j |
1209311206264/9014247567 |
j-invariant |
L |
8.4991935627811 |
L(r)(E,1)/r! |
Ω |
0.39829814274395 |
Real period |
R |
0.12701650458596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384ca1 36192x1 |
Quadratic twists by: -4 8 |