Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640a |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-50636596608000 = -1 · 210 · 36 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11376,582876] |
[a1,a2,a3,a4,a6] |
j |
-159012286114756/49449801375 |
j-invariant |
L |
1.1980403620048 |
L(r)(E,1)/r! |
Ω |
0.59902018100296 |
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 |
59280n1 88920bo1 |
Quadratic twists by: -4 -3 |