Atkin-Lehner |
3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61335c |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4936473075645 = -1 · 312 · 5 · 292 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6660,236601] |
[a1,a2,a3,a4,a6] |
j |
-44818317725761/6771568005 |
j-invariant |
L |
2.9697445506785 |
L(r)(E,1)/r! |
Ω |
0.74243613886827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445f2 |
Quadratic twists by: -3 |