Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466o |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
481753088092680768 = 26 · 315 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16447986,25679489940] |
[a1,a2,a3,a4,a6] |
Generators |
[1473:67425:1] |
Generators of the group modulo torsion |
j |
16728308209329751/16376256 |
j-invariant |
L |
3.7201919406462 |
L(r)(E,1)/r! |
Ω |
0.24751141517775 |
Real period |
R |
3.7575963294204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728eg1 3822bd1 11466ba1 |
Quadratic twists by: -4 -3 -7 |