Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384cp |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-158629390073856 = -1 · 214 · 34 · 132 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12849,829809] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:936:1] [-79:1160:1] |
Generators of the group modulo torsion |
j |
-14320083805648/9681969609 |
j-invariant |
L |
7.2587763412375 |
L(r)(E,1)/r! |
Ω |
0.53113786764551 |
Real period |
R |
0.85415397576194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384bm2 18096bb2 |
Quadratic twists by: -4 8 |