Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200c |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
221798400000000 = 219 · 3 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48033,-3972063] |
[a1,a2,a3,a4,a6] |
Generators |
[377:5600:1] |
Generators of the group modulo torsion |
j |
2992209121/54150 |
j-invariant |
L |
6.09009314389 |
L(r)(E,1)/r! |
Ω |
0.32284267391198 |
Real period |
R |
2.3579957188506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ie2 2850k2 18240bb2 |
Quadratic twists by: -4 8 5 |