Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169i |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-1452666299931 = -1 · 36 · 74 · 112 · 193 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 11- 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1176,55872] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:31:1] [-126:1459:8] |
Generators of the group modulo torsion |
j |
102760448/829939 |
j-invariant |
L |
7.962465444232 |
L(r)(E,1)/r! |
Ω |
0.62172961058232 |
Real period |
R |
0.3557488527144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10241b1 92169bc1 |
Quadratic twists by: -3 -7 |