Atkin-Lehner |
5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825d |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-204629826336425 = -1 · 52 · 78 · 175 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 5 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8182,-625843] |
[a1,a2,a3,a4,a6] |
j |
420314615/1419857 |
j-invariant |
L |
1.4372011274756 |
L(r)(E,1)/r! |
Ω |
0.28744022549513 |
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 |
20825y1 20825j1 |
Quadratic twists by: 5 -7 |