Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485l |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15762507255 = 38 · 5 · 113 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-646,1805] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:95:1] |
Generators of the group modulo torsion |
j |
22401919259/11842605 |
j-invariant |
L |
3.8753700383943 |
L(r)(E,1)/r! |
Ω |
1.0883976595498 |
Real period |
R |
0.44507744990892 |
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 |
103455x2 34485k2 |
Quadratic twists by: -3 -11 |