Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44080o |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
184884920320 = 226 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2440,-40720] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:52:1] |
Generators of the group modulo torsion |
j |
392383937161/45137920 |
j-invariant |
L |
4.8563317066654 |
L(r)(E,1)/r! |
Ω |
0.68435367330738 |
Real period |
R |
3.5481154672519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510g1 |
Quadratic twists by: -4 |