Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384cm |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-5698633317335482368 = -1 · 214 · 3 · 1310 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-441233,161136369] |
[a1,a2,a3,a4,a6] |
Generators |
[499:8060:1] [720:14703:1] |
Generators of the group modulo torsion |
j |
-579840725763250000/347816974935027 |
j-invariant |
L |
8.2812400681977 |
L(r)(E,1)/r! |
Ω |
0.22249358219582 |
Real period |
R |
3.7220130066264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384bj2 18096k2 |
Quadratic twists by: -4 8 |