Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600m |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-51894000000000 = -1 · 210 · 33 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4125,331250] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:496:1] |
Generators of the group modulo torsion |
j |
143748/961 |
j-invariant |
L |
7.0775557509079 |
L(r)(E,1)/r! |
Ω |
0.45885942168906 |
Real period |
R |
1.928029429876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bk2 111600n2 111600p2 |
Quadratic twists by: -4 -3 5 |