Atkin-Lehner |
2+ 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bg |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
5141488210096896000 = 211 · 310 · 53 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18580752800,974855648908500] |
[a1,a2,a3,a4,a6] |
j |
346404620555193203669674084910402/2510492290086375 |
j-invariant |
L |
4.8733451504476 |
L(r)(E,1)/r! |
Ω |
0.081222420290504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49560x6 |
Quadratic twists by: -4 |