Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150dd |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
10435293750000 = 24 · 3 · 58 · 7 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 -2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-261013,-51347983] |
[a1,a2,a3,a4,a6] |
Generators |
[-101276:55411:343] |
Generators of the group modulo torsion |
j |
5034428721544945/26714352 |
j-invariant |
L |
10.829958003419 |
L(r)(E,1)/r! |
Ω |
0.21121956783576 |
Real period |
R |
4.2727883099679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150l1 |
Quadratic twists by: 5 |