Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2828a |
Isogeny class |
Conductor |
2828 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
420 |
Modular degree for the optimal curve |
Δ |
-27160112 = -1 · 24 · 75 · 101 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-254] |
[a1,a2,a3,a4,a6] |
j |
131072000/1697507 |
j-invariant |
L |
1.0344873313295 |
L(r)(E,1)/r! |
Ω |
1.0344873313295 |
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 |
11312j1 45248e1 25452b1 70700d1 |
Quadratic twists by: -4 8 -3 5 |