Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12200g |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
74420000000 = 28 · 57 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1175,8250] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:154:1] [-15:150:1] |
Generators of the group modulo torsion |
j |
44851536/18605 |
j-invariant |
L |
5.9510868440561 |
L(r)(E,1)/r! |
Ω |
0.98708836355362 |
Real period |
R |
0.75361627486811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24400a2 97600j2 109800k2 2440a2 |
Quadratic twists by: -4 8 -3 5 |