Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688ba |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-156558528 = -1 · 26 · 33 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297,2060] |
[a1,a2,a3,a4,a6] |
Generators |
[1:42:1] [7:18:1] |
Generators of the group modulo torsion |
j |
-1676676672/90601 |
j-invariant |
L |
8.4021414501303 |
L(r)(E,1)/r! |
Ω |
1.7999243577719 |
Real period |
R |
1.1670131322016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688h1 86688a1 |
Quadratic twists by: -4 -3 |