Atkin-Lehner |
2- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
44240o |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
445056 |
Modular degree for the optimal curve |
Δ |
2700195312500000000 = 28 · 519 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-404312,-59506116] |
[a1,a2,a3,a4,a6] |
Generators |
[-7854:156250:27] |
Generators of the group modulo torsion |
j |
28551809744913309696/10547637939453125 |
j-invariant |
L |
6.0371745224317 |
L(r)(E,1)/r! |
Ω |
0.19521989434996 |
Real period |
R |
0.81381569371906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11060b1 |
Quadratic twists by: -4 |