Atkin-Lehner |
2+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520u |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
504896000000 = 212 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10185,-390775] |
[a1,a2,a3,a4,a6] |
j |
28529194119616/123265625 |
j-invariant |
L |
2.8521337611833 |
L(r)(E,1)/r! |
Ω |
0.47535562693989 |
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 |
51520bj1 25760f1 |
Quadratic twists by: -4 8 |