Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382u |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-878691483648 = -1 · 219 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2448,-64256] |
[a1,a2,a3,a4,a6] |
Generators |
[2853:150919:1] |
Generators of the group modulo torsion |
j |
-18396908233/9961472 |
j-invariant |
L |
2.6368660636382 |
L(r)(E,1)/r! |
Ω |
0.33098948939656 |
Real period |
R |
7.9666157026506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598o1 41382co1 |
Quadratic twists by: -3 -11 |