Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552ck |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-37481472 = -1 · 210 · 32 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83,-83] |
[a1,a2,a3,a4,a6] |
Generators |
[28:153:1] |
Generators of the group modulo torsion |
j |
61011968/36603 |
j-invariant |
L |
7.0176018811503 |
L(r)(E,1)/r! |
Ω |
1.1960254899286 |
Real period |
R |
2.9337175098369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552bj1 27888l1 |
Quadratic twists by: -4 8 |