Atkin-Lehner |
3- 5- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
81765j |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-1918245348764775 = -1 · 38 · 52 · 236 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-182372,30096294] |
[a1,a2,a3,a4,a6] |
j |
-920170770943475449/2631337926975 |
j-invariant |
L |
0.93869167665205 |
L(r)(E,1)/r! |
Ω |
0.46934583333316 |
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 |
27255b1 |
Quadratic twists by: -3 |