Atkin-Lehner |
2+ 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410p |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3236832000064080 = 24 · 38 · 5 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49284,3212608] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:2456:1] [-156:2740:1] |
Generators of the group modulo torsion |
j |
18160131429546049/4440098765520 |
j-invariant |
L |
7.6855503889407 |
L(r)(E,1)/r! |
Ω |
0.42027779609715 |
Real period |
R |
4.5717085581899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470u2 |
Quadratic twists by: -3 |