Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920bi |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
348477601318502400 = 216 · 320 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716763,231833738] |
[a1,a2,a3,a4,a6] |
Generators |
[829:14400:1] |
Generators of the group modulo torsion |
j |
13638385797303961/116704443600 |
j-invariant |
L |
6.3243538257198 |
L(r)(E,1)/r! |
Ω |
0.30470961786515 |
Real period |
R |
2.5944183637986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5490r2 14640y2 |
Quadratic twists by: -4 -3 |