Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bg |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-34044458694144000 = -1 · 212 · 3 · 53 · 536 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37980,-9339075] |
[a1,a2,a3,a4,a6] |
Generators |
[1223:41523:1] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
8.5346735675019 |
L(r)(E,1)/r! |
Ω |
0.15347516773875 |
Real period |
R |
1.5447076505761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30a3 |
Quadratic twists by: 53 |