Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384z |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
403034112 = 212 · 32 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,39] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:9:1] [-3:24:1] |
Generators of the group modulo torsion |
j |
171879616/98397 |
j-invariant |
L |
10.476294807268 |
L(r)(E,1)/r! |
Ω |
1.4418852786992 |
Real period |
R |
3.6328461639695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384e2 36192y1 |
Quadratic twists by: -4 8 |