Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bx |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-14228841667204736 = -1 · 27 · 116 · 137 |
Discriminant |
Eigenvalues |
2- -3 1 1 11- 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54957,-7570923] |
[a1,a2,a3,a4,a6] |
Generators |
[1895:80848:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
6.2116782046493 |
L(r)(E,1)/r! |
Ω |
0.15086284135612 |
Real period |
R |
1.4705122094463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338f1 3146i1 |
Quadratic twists by: -11 13 |