Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516d |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1715069462832 = -1 · 24 · 36 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2259,46818] |
[a1,a2,a3,a4,a6] |
j |
44957696/60507 |
j-invariant |
L |
1.1322003092073 |
L(r)(E,1)/r! |
Ω |
0.56610098052073 |
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 |
996a1 |
Quadratic twists by: -11 |