Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bc |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-179439872355072 = -1 · 28 · 39 · 73 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168778200,-843961508836] |
[a1,a2,a3,a4,a6] |
Generators |
[1026157486968222563213625578688288366501830:-243238097834540840584673969258153977035442614:17311949917190379293214377316940588133] |
Generators of the group modulo torsion |
j |
-2849084113585289344000000/961504803 |
j-invariant |
L |
5.5692079601411 |
L(r)(E,1)/r! |
Ω |
0.020943076123576 |
Real period |
R |
66.480300306406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11844g2 15792q2 |
Quadratic twists by: -4 -3 |