Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cy |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-9070392320000 = -1 · 213 · 54 · 116 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,-145088] |
[a1,a2,a3,a4,a6] |
j |
-25/2 |
j-invariant |
L |
1.9352459915907 |
L(r)(E,1)/r! |
Ω |
0.32254099868433 |
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 |
6050bi1 48400bx3 400c1 |
Quadratic twists by: -4 5 -11 |