Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bf |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1061270472528112 = -1 · 24 · 7 · 112 · 238 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6888,-1583312] |
[a1,a2,a3,a4,a6] |
j |
-244140625/7169008 |
j-invariant |
L |
1.7082562626925 |
L(r)(E,1)/r! |
Ω |
0.21353203151643 |
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 |
3542p1 |
Quadratic twists by: -23 |