Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ds |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
9.6257565672708E+25 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114745132,-31648631856] |
[a1,a2,a3,a4,a6] |
Generators |
[-6352:664020:1] |
Generators of the group modulo torsion |
j |
637362635322644797334049/367193472567398848000 |
j-invariant |
L |
6.9829565682807 |
L(r)(E,1)/r! |
Ω |
0.050236523007594 |
Real period |
R |
4.6333863294471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440y2 17360x2 |
Quadratic twists by: -4 8 |