Atkin-Lehner |
2- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
86336l |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[377216169:-1802695967:328509] |
Generators of the group modulo torsion |
j |
15443773948047428073/49038848 |
j-invariant |
L |
6.5688762343931 |
L(r)(E,1)/r! |
Ω |
0.47126833577469 |
Real period |
R |
13.938717566713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86336f2 21584e2 |
Quadratic twists by: -4 8 |