Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378j |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-106644752990208 = -1 · 215 · 36 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11740,81479] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1357:1] |
Generators of the group modulo torsion |
j |
245490762458375/146289098752 |
j-invariant |
L |
8.6568639166065 |
L(r)(E,1)/r! |
Ω |
0.36352832637872 |
Real period |
R |
2.3813450805449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4042a2 |
Quadratic twists by: -3 |