Atkin-Lehner |
2+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472f |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5248 |
Modular degree for the optimal curve |
Δ |
467024 = 24 · 172 · 101 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 6 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39,76] |
[a1,a2,a3,a4,a6] |
j |
420616192/29189 |
j-invariant |
L |
1.4507856594239 |
L(r)(E,1)/r! |
Ω |
2.9015713188459 |
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 |
13736a1 109888z1 |
Quadratic twists by: -4 8 |