Atkin-Lehner |
3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
3555a |
Isogeny class |
Conductor |
3555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-899859375 = -1 · 36 · 56 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-360,3091] |
[a1,a2,a3,a4,a6] |
j |
-7088952961/1234375 |
j-invariant |
L |
1.5157403414566 |
L(r)(E,1)/r! |
Ω |
1.5157403414566 |
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 |
56880bg1 395b1 17775u1 |
Quadratic twists by: -4 -3 5 |