Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dj |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
283564237556250000 = 24 · 36 · 58 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-516980,-140631353] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:1025:1] |
Generators of the group modulo torsion |
j |
1341518286067569/24894528400 |
j-invariant |
L |
9.9912838558058 |
L(r)(E,1)/r! |
Ω |
0.17824629807164 |
Real period |
R |
3.5033279669219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992501 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8050e2 14490bd2 |
Quadratic twists by: -3 5 |