Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898be |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-112916709323704 = -1 · 23 · 113 · 139 |
Discriminant |
Eigenvalues |
2- -2 3 -1 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59914,5662812] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2190:1] |
Generators of the group modulo torsion |
j |
-1685159/8 |
j-invariant |
L |
7.2517525404322 |
L(r)(E,1)/r! |
Ω |
0.59532768381966 |
Real period |
R |
1.0150925752774 |
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 |
40898d1 40898e1 |
Quadratic twists by: -11 13 |