Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10980f |
Isogeny class |
Conductor |
10980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
19142446361490000 = 24 · 322 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94692,-9026399] |
[a1,a2,a3,a4,a6] |
j |
8050374229540864/1641156238125 |
j-invariant |
L |
3.3126406498985 |
L(r)(E,1)/r! |
Ω |
0.27605338749154 |
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 |
43920bz1 3660e1 54900k1 |
Quadratic twists by: -4 -3 5 |