Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384m |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-945805206528 = -1 · 210 · 38 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2445,-4898] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-252:1] [38:378:1] |
Generators of the group modulo torsion |
j |
2165373500/1266993 |
j-invariant |
L |
11.194376417296 |
L(r)(E,1)/r! |
Ω |
0.51963963642226 |
Real period |
R |
2.6928220140367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128bb2 |
Quadratic twists by: -3 |