Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898bz |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
184 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
-359144114089885696 = -1 · 223 · 117 · 133 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11- 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-462364,124513887] |
[a1,a2,a3,a4,a6] |
Generators |
[-4938:108129:8] [-459:15717:1] |
Generators of the group modulo torsion |
j |
-2808592297029/92274688 |
j-invariant |
L |
10.69435468637 |
L(r)(E,1)/r! |
Ω |
0.3009296469664 |
Real period |
R |
0.19313980342786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718d1 40898w1 |
Quadratic twists by: -11 13 |