Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cn |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-196344000000000 = -1 · 212 · 35 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24208,1606912] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2000:1] |
Generators of the group modulo torsion |
j |
-196122941/24543 |
j-invariant |
L |
6.7213915732709 |
L(r)(E,1)/r! |
Ω |
0.54881695903083 |
Real period |
R |
1.5308818866494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7575h1 121200dy1 |
Quadratic twists by: -4 5 |