Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480p |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-796500000000 = -1 · 28 · 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -2 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1143,45442] |
[a1,a2,a3,a4,a6] |
j |
-23892339312/115234375 |
j-invariant |
L |
1.5538338511685 |
L(r)(E,1)/r! |
Ω |
0.77691692564103 |
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 |
10620a1 42480z1 |
Quadratic twists by: -4 -3 |