Atkin-Lehner |
2- 3- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bu |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
545238271242 = 2 · 312 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2111,-10915] |
[a1,a2,a3,a4,a6] |
Generators |
[414:815:8] |
Generators of the group modulo torsion |
j |
1426487591593/747926298 |
j-invariant |
L |
9.2885591998619 |
L(r)(E,1)/r! |
Ω |
0.74659751766108 |
Real period |
R |
3.110296705847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142o2 |
Quadratic twists by: -3 |