Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400dj |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1896129000000000000 = -1 · 212 · 38 · 512 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-626700,202124000] |
[a1,a2,a3,a4,a6] |
Generators |
[440:3400:1] |
Generators of the group modulo torsion |
j |
-583438782016/40640625 |
j-invariant |
L |
5.1591882320804 |
L(r)(E,1)/r! |
Ω |
0.25879855160431 |
Real period |
R |
2.491893906885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999248968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400y2 40800m2 24480l2 |
Quadratic twists by: -4 -3 5 |