Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384cd |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3627307008 = 212 · 34 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5577,162153] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:540:1] |
Generators of the group modulo torsion |
j |
4684287775168/885573 |
j-invariant |
L |
7.8568790322285 |
L(r)(E,1)/r! |
Ω |
1.3611935902374 |
Real period |
R |
2.8860255764004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384dn2 36192o1 |
Quadratic twists by: -4 8 |