Atkin-Lehner |
3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46569h |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-163860803523 = -1 · 34 · 196 · 43 |
Discriminant |
Eigenvalues |
0 3- -2 -2 -5 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6979,-227594] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-1625:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
2.6898307075582 |
L(r)(E,1)/r! |
Ω |
0.26109756444118 |
Real period |
R |
1.2877517228691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129a1 |
Quadratic twists by: -19 |