Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18512j |
Isogeny class |
Conductor |
18512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-246431744 = -1 · 214 · 132 · 89 |
Discriminant |
Eigenvalues |
2- -3 3 0 2 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1171,15442] |
[a1,a2,a3,a4,a6] |
Generators |
[23:26:1] |
Generators of the group modulo torsion |
j |
-43354526697/60164 |
j-invariant |
L |
4.1058731353595 |
L(r)(E,1)/r! |
Ω |
1.7519438968821 |
Real period |
R |
0.58590248561422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314a1 74048s1 |
Quadratic twists by: -4 8 |