Atkin-Lehner |
2+ 3+ 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106b |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-9394812 = -1 · 22 · 33 · 7 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,153] |
[a1,a2,a3,a4,a6] |
j |
-14348907/347956 |
j-invariant |
L |
3.8628138003962 |
L(r)(E,1)/r! |
Ω |
1.9314069339443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106bf1 |
Quadratic twists by: -3 |