Atkin-Lehner |
2+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
58432b |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3829399552 = -1 · 222 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 0 -3 11+ -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,340,-1744] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-128:1] [100:1016:1] |
Generators of the group modulo torsion |
j |
16581375/14608 |
j-invariant |
L |
8.8870021038567 |
L(r)(E,1)/r! |
Ω |
0.76792042559538 |
Real period |
R |
2.8932041028118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432o1 1826b1 |
Quadratic twists by: -4 8 |