Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096v |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-21125561963127552 = -1 · 28 · 321 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 1 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67601,-9752373] |
[a1,a2,a3,a4,a6] |
j |
-389094786976768/240588123669 |
j-invariant |
L |
6.0478123129963 |
L(r)(E,1)/r! |
Ω |
0.14399553129251 |
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 |
27048b1 54096l1 |
Quadratic twists by: -4 -7 |