Atkin-Lehner |
3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19425d |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-60581779453125 = -1 · 37 · 57 · 7 · 373 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -3 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24688,-1549594] |
[a1,a2,a3,a4,a6] |
j |
-106503164422201/3877233885 |
j-invariant |
L |
1.1401756123301 |
L(r)(E,1)/r! |
Ω |
0.19002926872167 |
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 |
58275i1 3885j1 |
Quadratic twists by: -3 5 |