Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558bs |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-19577327616 = -1 · 212 · 33 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,190,-6577] |
[a1,a2,a3,a4,a6] |
Generators |
[17:35:1] |
Generators of the group modulo torsion |
j |
569722789/14708736 |
j-invariant |
L |
9.9526849771912 |
L(r)(E,1)/r! |
Ω |
0.58966028460171 |
Real period |
R |
0.70327817209233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558n1 |
Quadratic twists by: -11 |