Atkin-Lehner |
2+ 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
81576a |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-484535502747648 = -1 · 211 · 39 · 11 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4995,1067742] |
[a1,a2,a3,a4,a6] |
j |
-341907750/12019997 |
j-invariant |
L |
2.622408335569 |
L(r)(E,1)/r! |
Ω |
0.43706805327425 |
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 |
81576j1 |
Quadratic twists by: -3 |