Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992g |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
8719917482246144 = 235 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ -2 1 0 1 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133665,-18309569] |
[a1,a2,a3,a4,a6] |
Generators |
[-65058:173347:343] |
Generators of the group modulo torsion |
j |
1007488615738249/33263845376 |
j-invariant |
L |
4.5710161392754 |
L(r)(E,1)/r! |
Ω |
0.25019219724663 |
Real period |
R |
9.1350093839596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bj1 1406c1 |
Quadratic twists by: -4 8 |