Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454u |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7417322766 = -1 · 2 · 36 · 72 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-576,-6602] |
[a1,a2,a3,a4,a6] |
Generators |
[41:173:1] |
Generators of the group modulo torsion |
j |
-592231633/207646 |
j-invariant |
L |
2.7913331360642 |
L(r)(E,1)/r! |
Ω |
0.47877479435909 |
Real period |
R |
2.9150794579742 |
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 |
4606l2 41454i2 |
Quadratic twists by: -3 -7 |