Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698bd |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-11095464524634 = -1 · 2 · 317 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 3 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1598,-161737] |
[a1,a2,a3,a4,a6] |
Generators |
[13876:191827:64] |
Generators of the group modulo torsion |
j |
-618688004761/15220115946 |
j-invariant |
L |
8.5113667947401 |
L(r)(E,1)/r! |
Ω |
0.31121314436141 |
Real period |
R |
6.8372488027495 |
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 |
13566i1 |
Quadratic twists by: -3 |