Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992v |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
768527883567104 = 223 · 195 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 4 5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39297,-2698529] |
[a1,a2,a3,a4,a6] |
Generators |
[267:2432:1] |
Generators of the group modulo torsion |
j |
25601949246817/2931701216 |
j-invariant |
L |
4.3487952869953 |
L(r)(E,1)/r! |
Ω |
0.3416143315045 |
Real period |
R |
0.63650656397237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bb1 1406d1 |
Quadratic twists by: -4 8 |