Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600u |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
8.9807958984375E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19463408,29733028188] |
[a1,a2,a3,a4,a6] |
Generators |
[439:145854:1] |
Generators of the group modulo torsion |
j |
101927273506578172232/11225994873046875 |
j-invariant |
L |
9.3833115906402 |
L(r)(E,1)/r! |
Ω |
0.10398618167376 |
Real period |
R |
6.4454385319534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600be2 13920t2 |
Quadratic twists by: -4 5 |