Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
28440j |
Isogeny class |
Conductor |
28440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
69109200 = 24 · 37 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17778,912373] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1431:1] |
Generators of the group modulo torsion |
j |
53275177670656/5925 |
j-invariant |
L |
4.8897418092726 |
L(r)(E,1)/r! |
Ω |
1.5081868713738 |
Real period |
R |
3.2421325911812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56880k1 9480b1 |
Quadratic twists by: -4 -3 |