Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624v |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
672768 |
Modular degree for the optimal curve |
Δ |
-63841246174533168 = -1 · 24 · 39 · 114 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98280,2673243] |
[a1,a2,a3,a4,a6] |
Generators |
[-81453838:896784119:3112136] |
Generators of the group modulo torsion |
j |
333355696128000/202716958081 |
j-invariant |
L |
8.8044823220952 |
L(r)(E,1)/r! |
Ω |
0.21482850452933 |
Real period |
R |
10.245942863883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24156d1 96624bc1 |
Quadratic twists by: -4 -3 |