Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bc |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3979439655840000 = 28 · 310 · 54 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39668,198231] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:797:1] [-157:1671:1] |
Generators of the group modulo torsion |
j |
9469059237951481/5458764960000 |
j-invariant |
L |
12.268897363695 |
L(r)(E,1)/r! |
Ω |
0.37472785180181 |
Real period |
R |
2.046301286505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19470h2 |
Quadratic twists by: -3 |