Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144d |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-45430253568 = -1 · 211 · 39 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -3 -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,10206] |
[a1,a2,a3,a4,a6] |
j |
378/23 |
j-invariant |
L |
1.7309637565028 |
L(r)(E,1)/r! |
Ω |
0.86548186250259 |
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 |
81144bf1 81144a1 |
Quadratic twists by: -3 -7 |