Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736em |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
376902844416 = 216 · 36 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94764,11228240] |
[a1,a2,a3,a4,a6] |
j |
1969910093092/7889 |
j-invariant |
L |
1.674752542519 |
L(r)(E,1)/r! |
Ω |
0.83737631280427 |
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 |
92736by1 23184j1 10304t1 |
Quadratic twists by: -4 8 -3 |