Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84032s |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
17478656 = 210 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,485] |
[a1,a2,a3,a4,a6] |
Generators |
[220:2097:125] |
Generators of the group modulo torsion |
j |
174456832/17069 |
j-invariant |
L |
11.709293961768 |
L(r)(E,1)/r! |
Ω |
2.1267502222286 |
Real period |
R |
5.5057212840324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84032i1 21008h1 |
Quadratic twists by: -4 8 |