Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384bz |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
73452966912 = 210 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3149,-65715] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:20:1] |
Generators of the group modulo torsion |
j |
3373491693568/71731413 |
j-invariant |
L |
3.3147121916669 |
L(r)(E,1)/r! |
Ω |
0.63812620607281 |
Real period |
R |
2.5972230578637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384bf1 18096n1 |
Quadratic twists by: -4 8 |