Atkin-Lehner |
3+ 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675b |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-57186675 = -1 · 33 · 52 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,77,-282] |
[a1,a2,a3,a4,a6] |
j |
1993441280/2287467 |
j-invariant |
L |
1.0672118496561 |
L(r)(E,1)/r! |
Ω |
1.0672106114973 |
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 |
129675bn1 |
Quadratic twists by: 5 |