Atkin-Lehner |
2- 3+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
67344j |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
551682048 = 217 · 3 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 5 0 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-2832] |
[a1,a2,a3,a4,a6] |
j |
1838265625/134688 |
j-invariant |
L |
2.1339308618926 |
L(r)(E,1)/r! |
Ω |
1.0669654361739 |
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 |
8418a1 |
Quadratic twists by: -4 |