Atkin-Lehner |
2+ 3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426s |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2007861570288 = 24 · 310 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4446,-90396] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:153:1] |
Generators of the group modulo torsion |
j |
13333970928097/2754268272 |
j-invariant |
L |
6.0901514714811 |
L(r)(E,1)/r! |
Ω |
0.59315863886653 |
Real period |
R |
1.2834154035996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142bd2 |
Quadratic twists by: -3 |