Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382z |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
82089258229490688 = 210 · 39 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1396665,635510893] |
[a1,a2,a3,a4,a6] |
Generators |
[743095:55863868:125] |
Generators of the group modulo torsion |
j |
233301213501481/63562752 |
j-invariant |
L |
5.6012164543866 |
L(r)(E,1)/r! |
Ω |
0.33410225287316 |
Real period |
R |
8.3824883044325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794be1 3762o1 |
Quadratic twists by: -3 -11 |