Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984l |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-991159009010515968 = -1 · 227 · 3 · 79 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-723233,-241292895] |
[a1,a2,a3,a4,a6] |
j |
-159594930873015625/3780971561472 |
j-invariant |
L |
1.4713438201687 |
L(r)(E,1)/r! |
Ω |
0.08174132466542 |
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 |
81984cg3 2562e3 |
Quadratic twists by: -4 8 |