Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31600p |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
316000000 = 28 · 56 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -2 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4508,118012] |
[a1,a2,a3,a4,a6] |
Generators |
[33:64:1] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
4.6182643666243 |
L(r)(E,1)/r! |
Ω |
1.6026735142101 |
Real period |
R |
2.881600229664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7900a1 126400bz1 1264f1 |
Quadratic twists by: -4 8 5 |