Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3420c |
Isogeny class |
Conductor |
3420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47110331462400 = 28 · 318 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11847,-370514] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:2835:8] |
Generators of the group modulo torsion |
j |
985329269584/252434475 |
j-invariant |
L |
3.7926338021397 |
L(r)(E,1)/r! |
Ω |
0.46626530201986 |
Real period |
R |
4.0670341388369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680bm2 54720q2 1140c2 17100z2 |
Quadratic twists by: -4 8 -3 5 |