Atkin-Lehner |
3- 5- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
121545o |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
171639490057915725 = 326 · 52 · 37 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3252272,2258228094] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:408:1] |
Generators of the group modulo torsion |
j |
5218631592752073553849/235445116677525 |
j-invariant |
L |
3.276069851588 |
L(r)(E,1)/r! |
Ω |
0.30263574203379 |
Real period |
R |
5.4125625645636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000230538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40515d4 |
Quadratic twists by: -3 |