Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17892d |
Isogeny class |
Conductor |
17892 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-92752128 = -1 · 28 · 36 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 5 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,646] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
-810448/497 |
j-invariant |
L |
4.2329580183912 |
L(r)(E,1)/r! |
Ω |
1.7621259344961 |
Real period |
R |
2.4021881385008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568cc1 1988a1 125244r1 |
Quadratic twists by: -4 -3 -7 |