Atkin-Lehner |
2- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49984q |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
263781521293312 = 221 · 116 · 71 |
Discriminant |
Eigenvalues |
2- -3 -2 3 11- -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124876,16967056] |
[a1,a2,a3,a4,a6] |
Generators |
[466:-7744:1] |
Generators of the group modulo torsion |
j |
821524892664393/1006246648 |
j-invariant |
L |
2.6718688611396 |
L(r)(E,1)/r! |
Ω |
0.55023314765469 |
Real period |
R |
0.20232853962264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984f1 12496e1 |
Quadratic twists by: -4 8 |