Atkin-Lehner |
3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15939f |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
361291241619 = 36 · 7 · 11 · 235 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 11+ -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2279,30844] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:275:1] |
Generators of the group modulo torsion |
j |
1794942305577/495598411 |
j-invariant |
L |
1.6872148629107 |
L(r)(E,1)/r! |
Ω |
0.89127310144896 |
Real period |
R |
0.37860782742524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771a1 111573be1 |
Quadratic twists by: -3 -7 |