Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992bj |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42854246368579584 = 212 · 316 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200811,33173210] |
[a1,a2,a3,a4,a6] |
Generators |
[335:1870:1] |
Generators of the group modulo torsion |
j |
299915376518953/14351800401 |
j-invariant |
L |
5.1769316966597 |
L(r)(E,1)/r! |
Ω |
0.35678868157174 |
Real period |
R |
3.6274494988792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999936 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4437j2 23664g2 |
Quadratic twists by: -4 -3 |