Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ci |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43366400000000 = 217 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28033,-1787937] |
[a1,a2,a3,a4,a6] |
Generators |
[363:6000:1] |
Generators of the group modulo torsion |
j |
1189646642/21175 |
j-invariant |
L |
5.3490910602766 |
L(r)(E,1)/r! |
Ω |
0.3693601147383 |
Real period |
R |
1.8102560700299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998923575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200ee2 15400r2 24640g2 |
Quadratic twists by: -4 8 5 |