Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880bb |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1383117120 = 26 · 36 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2973,-62368] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2:1] |
Generators of the group modulo torsion |
j |
62287505344/29645 |
j-invariant |
L |
5.0320789658264 |
L(r)(E,1)/r! |
Ω |
0.64656655035887 |
Real period |
R |
1.9456925954934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999358486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880be1 12320g1 |
Quadratic twists by: -4 -3 |