Atkin-Lehner |
2+ 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384m |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8.5466757314314E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23781633,3777285249] |
[a1,a2,a3,a4,a6] |
j |
22697018834878615562500/13041192217150005597 |
j-invariant |
L |
0.75971048985524 |
L(r)(E,1)/r! |
Ω |
0.075971046707068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384dg2 9048h2 |
Quadratic twists by: -4 8 |