Atkin-Lehner |
3- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29799g |
Isogeny class |
Conductor |
29799 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-170989632870903 = -1 · 310 · 7 · 112 · 434 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7317,-583016] |
[a1,a2,a3,a4,a6] |
j |
59424010905167/234553680207 |
j-invariant |
L |
1.1605464381027 |
L(r)(E,1)/r! |
Ω |
0.29013660952594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9933a1 |
Quadratic twists by: -3 |