Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41574g |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-53684712354490464 = -1 · 25 · 3 · 136 · 415 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -2 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97941419,-373084493962] |
[a1,a2,a3,a4,a6] |
j |
-21525971829968662032241/11122195296 |
j-invariant |
L |
0.59988495515441 |
L(r)(E,1)/r! |
Ω |
0.023995398209866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bt2 246b2 |
Quadratic twists by: -3 13 |