Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984cg |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[641157:2950656:1331] |
Generators of the group modulo torsion |
j |
-159594930873015625/3780971561472 |
j-invariant |
L |
7.9649039538108 |
L(r)(E,1)/r! |
Ω |
0.27756571622223 |
Real period |
R |
7.1738902587497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984l3 20496i3 |
Quadratic twists by: -4 8 |