Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cu |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-8964000000 = -1 · 28 · 33 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,-5112] |
[a1,a2,a3,a4,a6] |
Generators |
[6695:45912:125] |
Generators of the group modulo torsion |
j |
-810448/2241 |
j-invariant |
L |
10.590582330605 |
L(r)(E,1)/r! |
Ω |
0.52840282125588 |
Real period |
R |
6.6808767161706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900d1 3984e1 |
Quadratic twists by: -4 5 |