Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426n |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
390417527556 = 22 · 38 · 72 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69426,7058272] |
[a1,a2,a3,a4,a6] |
Generators |
[102:964:1] |
Generators of the group modulo torsion |
j |
50765203847536417/535552164 |
j-invariant |
L |
5.4877251431608 |
L(r)(E,1)/r! |
Ω |
0.85976823914122 |
Real period |
R |
1.5956989607704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23142w2 |
Quadratic twists by: -3 |