Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410t |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5653381347656250 = -1 · 2 · 3 · 518 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-208136,-36744390] |
[a1,a2,a3,a4,a6] |
Generators |
[132372:5793189:64] |
Generators of the group modulo torsion |
j |
-997161390145682805889/5653381347656250 |
j-invariant |
L |
6.6052969187913 |
L(r)(E,1)/r! |
Ω |
0.11172118697871 |
Real period |
R |
3.2846136874896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280bd3 22230s3 37050f3 96330bl3 |
Quadratic twists by: -4 -3 5 13 |