Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bo |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
26925346728 = 23 · 38 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-545675,155285363] |
[a1,a2,a3,a4,a6] |
Generators |
[429:-134:1] |
Generators of the group modulo torsion |
j |
24648903752582859625/36934632 |
j-invariant |
L |
8.2042862567018 |
L(r)(E,1)/r! |
Ω |
0.761166572211 |
Real period |
R |
0.89821406556053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142k2 |
Quadratic twists by: -3 |