Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93654bc |
Isogeny class |
Conductor |
93654 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-361993688496 = -1 · 24 · 33 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 11- 2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42494,-3361091] |
[a1,a2,a3,a4,a6] |
Generators |
[289:2759:1] |
Generators of the group modulo torsion |
j |
-177409591659/7568 |
j-invariant |
L |
9.4215901909737 |
L(r)(E,1)/r! |
Ω |
0.16625983399156 |
Real period |
R |
1.7708708487381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93654e1 8514a1 |
Quadratic twists by: -3 -11 |