Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cu |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-6861444000000 = -1 · 28 · 3 · 56 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2692,114888] |
[a1,a2,a3,a4,a6] |
Generators |
[458173435665:6399115711464:12406605875] |
Generators of the group modulo torsion |
j |
539172272/1715361 |
j-invariant |
L |
10.590582330605 |
L(r)(E,1)/r! |
Ω |
0.52840282125588 |
Real period |
R |
20.042630176413 |
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 |
24900d2 3984e2 |
Quadratic twists by: -4 5 |