Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784ch |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1361202425856 = -1 · 212 · 32 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1028837,-401325939] |
[a1,a2,a3,a4,a6] |
j |
-13383627864961024/151263 |
j-invariant |
L |
1.4990388048428 |
L(r)(E,1)/r! |
Ω |
0.074951940287839 |
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 |
3549b2 56784br2 |
Quadratic twists by: -4 13 |