Atkin-Lehner |
3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46827t |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-985225979875203 = -1 · 39 · 114 · 434 |
Discriminant |
Eigenvalues |
2 3- 0 5 11- 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-215985,38664733] |
[a1,a2,a3,a4,a6] |
j |
-104398970368000/92307627 |
j-invariant |
L |
7.8605058692727 |
L(r)(E,1)/r! |
Ω |
0.49128161681813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15609i1 46827o1 |
Quadratic twists by: -3 -11 |