Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400bk |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-314880000 = -1 · 212 · 3 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,-23637] |
[a1,a2,a3,a4,a6] |
Generators |
[4238171:471124884:343] |
Generators of the group modulo torsion |
j |
-155737600/123 |
j-invariant |
L |
9.3653066159092 |
L(r)(E,1)/r! |
Ω |
0.38145195491665 |
Real period |
R |
12.27586658218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400ce1 98400bs1 |
Quadratic twists by: -4 5 |