Atkin-Lehner |
2+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86336f |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12855239770112 = 227 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3320396,-2328803984] |
[a1,a2,a3,a4,a6] |
j |
15443773948047428073/49038848 |
j-invariant |
L |
2.0131427409245 |
L(r)(E,1)/r! |
Ω |
0.11184126851967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86336l2 2698a2 |
Quadratic twists by: -4 8 |