Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200c |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1859132250000000000 = -1 · 210 · 36 · 512 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,283592,30313312] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5454:1] |
Generators of the group modulo torsion |
j |
157646424207164/116195765625 |
j-invariant |
L |
2.3410631725975 |
L(r)(E,1)/r! |
Ω |
0.16815370540709 |
Real period |
R |
1.7402703296209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997347846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600m2 24240h2 |
Quadratic twists by: -4 5 |