Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3458f |
Isogeny class |
Conductor |
3458 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-5641593666436 = -1 · 22 · 7 · 139 · 19 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60892,-5789676] |
[a1,a2,a3,a4,a6] |
Generators |
[600:12882:1] |
Generators of the group modulo torsion |
j |
-24969214143637912513/5641593666436 |
j-invariant |
L |
3.1007495795137 |
L(r)(E,1)/r! |
Ω |
0.15195800229926 |
Real period |
R |
1.1336281269958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27664l3 110656p3 31122o3 86450h3 |
Quadratic twists by: -4 8 -3 5 |