Atkin-Lehner |
2+ 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050f |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
331206122234531250 = 2 · 37 · 57 · 73 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1000188875,12174644185875] |
[a1,a2,a3,a4,a6] |
j |
7081899276883820886652140721/21197191823010 |
j-invariant |
L |
1.7146619533158 |
L(r)(E,1)/r! |
Ω |
0.14288849612042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150do4 8610r4 |
Quadratic twists by: -3 5 |