Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70644k |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
Δ |
7.0637465633536E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8646453317,-309463302728304] |
[a1,a2,a3,a4,a6] |
Generators |
[-6710320:107016:125] |
Generators of the group modulo torsion |
j |
8931692224770152071168/88253338509 |
j-invariant |
L |
5.3520098376517 |
L(r)(E,1)/r! |
Ω |
0.015656333171848 |
Real period |
R |
5.4260813286245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70644e2 |
Quadratic twists by: 29 |