Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384p |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
420364805472847872 = 211 · 36 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187347,-1052210] |
[a1,a2,a3,a4,a6] |
Generators |
[4210:54315:8] |
Generators of the group modulo torsion |
j |
487086912609698/281558645641 |
j-invariant |
L |
5.4585325761588 |
L(r)(E,1)/r! |
Ω |
0.25096237355618 |
Real period |
R |
5.4376005734347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376i2 |
Quadratic twists by: -3 |