Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176by |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-342648531949824 = -1 · 28 · 314 · 234 |
Discriminant |
Eigenvalues |
2- 3- -1 2 0 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17457,-70886] |
[a1,a2,a3,a4,a6] |
j |
11265584/6561 |
j-invariant |
L |
1.914407189033 |
L(r)(E,1)/r! |
Ω |
0.31906786462022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19044j1 25392z1 76176bw1 |
Quadratic twists by: -4 -3 -23 |