Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992a |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2024280064 = 212 · 192 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1876,31200] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:228:1] |
Generators of the group modulo torsion |
j |
178263433152/494209 |
j-invariant |
L |
2.5018198219865 |
L(r)(E,1)/r! |
Ω |
1.4773440403535 |
Real period |
R |
1.6934578227281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999562 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44992p2 22496k1 |
Quadratic twists by: -4 8 |