Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636h |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-28958740113445632 = -1 · 28 · 33 · 79 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-918903533,10721743246761] |
[a1,a2,a3,a4,a6] |
j |
-2849084113585289344000000/961504803 |
j-invariant |
L |
0.93284328861403 |
L(r)(E,1)/r! |
Ω |
0.15547388143572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544dj2 82908q2 3948e2 |
Quadratic twists by: -4 -3 -7 |