Atkin-Lehner |
2- 3- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24534n |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-2436727135212 = -1 · 22 · 312 · 293 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2120,84503] |
[a1,a2,a3,a4,a6] |
j |
-1444813197625/3342561228 |
j-invariant |
L |
2.8910839217269 |
L(r)(E,1)/r! |
Ω |
0.72277098043173 |
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 |
8178h1 |
Quadratic twists by: -3 |