Atkin-Lehner |
2- 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540r |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-22930432560 = -1 · 24 · 38 · 5 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,709] |
[a1,a2,a3,a4,a6] |
Generators |
[836:7065:64] |
Generators of the group modulo torsion |
j |
3364929536/1965915 |
j-invariant |
L |
7.5914055539346 |
L(r)(E,1)/r! |
Ω |
0.72763316776738 |
Real period |
R |
5.2165059960278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180j1 |
Quadratic twists by: -3 |