Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992a |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17984 |
Modular degree for the optimal curve |
Δ |
-308600128 = -1 · 26 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71,876] |
[a1,a2,a3,a4,a6] |
Generators |
[24:114:1] |
Generators of the group modulo torsion |
j |
-618470208/4821877 |
j-invariant |
L |
2.5018198219865 |
L(r)(E,1)/r! |
Ω |
1.4773440403535 |
Real period |
R |
3.3869156454562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44992p1 22496k2 |
Quadratic twists by: -4 8 |