Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46728m |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
192942528768 = 28 · 39 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344655,77879826] |
[a1,a2,a3,a4,a6] |
Generators |
[285:1674:1] |
Generators of the group modulo torsion |
j |
898558184358000/38291 |
j-invariant |
L |
6.7287959675908 |
L(r)(E,1)/r! |
Ω |
0.74883616513984 |
Real period |
R |
2.2464179352089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456a1 46728a1 |
Quadratic twists by: -4 -3 |