Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864ba |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-420876591408 = -1 · 24 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4410,-116963] |
[a1,a2,a3,a4,a6] |
j |
-186624000/8281 |
j-invariant |
L |
2.3373557693628 |
L(r)(E,1)/r! |
Ω |
0.29216947115525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728f1 45864c1 6552o1 |
Quadratic twists by: -4 -3 -7 |