Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bo |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4945920 |
Modular degree for the optimal curve |
Δ |
3957993128617187500 = 22 · 59 · 477 |
Discriminant |
Eigenvalues |
2- 3 5- 3 5 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-396930,10238197] |
[a1,a2,a3,a4,a6] |
j |
328509/188 |
j-invariant |
L |
15.26422259729 |
L(r)(E,1)/r! |
Ω |
0.21200308283905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450s1 2350o1 |
Quadratic twists by: 5 -47 |