Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336r |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
545792 |
Modular degree for the optimal curve |
Δ |
-1741197850850304 = -1 · 210 · 319 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39891,3665342] |
[a1,a2,a3,a4,a6] |
Generators |
[383:6676:1] |
Generators of the group modulo torsion |
j |
-9404181396292/2332494549 |
j-invariant |
L |
8.9874083900415 |
L(r)(E,1)/r! |
Ω |
0.44913558129786 |
Real period |
R |
5.0026143406648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112m1 |
Quadratic twists by: -3 |