Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bl |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3824516175642279936 = 214 · 312 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5290432,-4680945920] |
[a1,a2,a3,a4,a6] |
j |
828279937799497/193444524 |
j-invariant |
L |
0.79638457101418 |
L(r)(E,1)/r! |
Ω |
0.099548071338184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098bd3 4368t3 |
Quadratic twists by: -4 13 |