Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bh |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
598283656751456361 = 36 · 76 · 178 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-724866,-234424513] |
[a1,a2,a3,a4,a6] |
Generators |
[-403023617110:-297619437289:898632125] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
10.859490072552 |
L(r)(E,1)/r! |
Ω |
0.16376028678439 |
Real period |
R |
16.578332717157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925204 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14161b2 2601j2 7497o2 |
Quadratic twists by: -3 -7 17 |