Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400dh |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2998219536000000 = -1 · 210 · 38 · 56 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136608,19566288] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-1404:1] |
Generators of the group modulo torsion |
j |
-616966948/6561 |
j-invariant |
L |
10.722814016352 |
L(r)(E,1)/r! |
Ω |
0.45261892711259 |
Real period |
R |
0.49355416916979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4056c1 101400bm1 |
Quadratic twists by: 5 13 |