Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cl |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20829500106706944 = 212 · 36 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236691,-43774830] |
[a1,a2,a3,a4,a6] |
Generators |
[-7179:16226:27] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
5.9174025911312 |
L(r)(E,1)/r! |
Ω |
0.21663449673006 |
Real period |
R |
6.8287861356916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2601j2 4624e2 2448o2 |
Quadratic twists by: -4 -3 17 |