Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432p |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-33340785408 = -1 · 28 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,8595] |
[a1,a2,a3,a4,a6] |
j |
128000/1107 |
j-invariant |
L |
5.1193662664693 |
L(r)(E,1)/r! |
Ω |
0.85322768216603 |
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 |
48216n1 1968a1 |
Quadratic twists by: -4 -7 |