Atkin-Lehner |
2- 3+ 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bf |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-6848817948 = -1 · 22 · 39 · 7 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-3995] |
[a1,a2,a3,a4,a6] |
j |
-14348907/347956 |
j-invariant |
L |
1.151930010829 |
L(r)(E,1)/r! |
Ω |
0.57596495895726 |
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 |
92106b1 |
Quadratic twists by: -3 |