Atkin-Lehner |
2+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96922a |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
91222211024 = 24 · 78 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 0 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1136,-2192] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-92:1] [-17:118:1] |
Generators of the group modulo torsion |
j |
28137753/15824 |
j-invariant |
L |
6.5717049396897 |
L(r)(E,1)/r! |
Ω |
0.88483136762573 |
Real period |
R |
1.2378450817722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96922j1 |
Quadratic twists by: -7 |