Atkin-Lehner |
3+ 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81075a |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-273881484375 = -1 · 3 · 57 · 232 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9000,325875] |
[a1,a2,a3,a4,a6] |
j |
-5160676199041/17528415 |
j-invariant |
L |
1.9647268147253 |
L(r)(E,1)/r! |
Ω |
0.9823633800766 |
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 |
16215h1 |
Quadratic twists by: 5 |