Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775z |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5795606953125 = 36 · 57 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4505,12372] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:170:1] |
Generators of the group modulo torsion |
j |
887503681/508805 |
j-invariant |
L |
4.574148055936 |
L(r)(E,1)/r! |
Ω |
0.64871653615317 |
Real period |
R |
1.7627684057036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7975c2 14355c2 |
Quadratic twists by: -3 5 |