Atkin-Lehner |
2- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35728r |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5686182656 = -1 · 28 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,3628] |
[a1,a2,a3,a4,a6] |
Generators |
[18:98:1] [-6:58:1] |
Generators of the group modulo torsion |
j |
221184/22211651 |
j-invariant |
L |
5.7358335678651 |
L(r)(E,1)/r! |
Ω |
1.0693912944906 |
Real period |
R |
0.67045542606991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932f1 |
Quadratic twists by: -4 |