Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426n |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16870518 = 2 · 37 · 7 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1110816,450898690] |
[a1,a2,a3,a4,a6] |
Generators |
[615:-40:1] |
Generators of the group modulo torsion |
j |
207932695547379134977/23142 |
j-invariant |
L |
5.4877251431608 |
L(r)(E,1)/r! |
Ω |
0.85976823914122 |
Real period |
R |
3.1913979215408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.00000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142w4 |
Quadratic twists by: -3 |