Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850x |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-708405750000 = -1 · 24 · 36 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1124,37898] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-241:1] |
Generators of the group modulo torsion |
j |
10063705679/45337968 |
j-invariant |
L |
4.8359743241068 |
L(r)(E,1)/r! |
Ω |
0.64743628503176 |
Real period |
R |
0.62245176808793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794h1 |
Quadratic twists by: 5 |