Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150do |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
52101562500 = 22 · 33 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2180,-37053] |
[a1,a2,a3,a4,a6] |
Generators |
[-15864:9427:512] |
Generators of the group modulo torsion |
j |
21717639/988 |
j-invariant |
L |
10.466572698796 |
L(r)(E,1)/r! |
Ω |
0.70068389021205 |
Real period |
R |
7.4688264168114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150s1 111150o1 |
Quadratic twists by: -3 5 |