Atkin-Lehner |
2+ 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730j |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1449252000 = 25 · 36 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330,-1324] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:16:1] |
Generators of the group modulo torsion |
j |
5461074081/1988000 |
j-invariant |
L |
3.9489901203504 |
L(r)(E,1)/r! |
Ω |
1.1540600626911 |
Real period |
R |
1.7109118701973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970j1 |
Quadratic twists by: -3 |