Atkin-Lehner |
3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
46665d |
Isogeny class |
Conductor |
46665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
24799694265 = 314 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-729,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16820:182178:125] |
Generators of the group modulo torsion |
j |
58818484369/34018785 |
j-invariant |
L |
8.2548293246338 |
L(r)(E,1)/r! |
Ω |
1.0060037915627 |
Real period |
R |
8.2055648237789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15555b1 |
Quadratic twists by: -3 |