Atkin-Lehner |
2- 7+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
17794f |
Isogeny class |
Conductor |
17794 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
583073792 = 216 · 7 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-271,-1193] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:24:1] [-5:6:1] |
Generators of the group modulo torsion |
j |
2193452910657/583073792 |
j-invariant |
L |
8.6652325521175 |
L(r)(E,1)/r! |
Ω |
1.2003378896987 |
Real period |
R |
1.8047486100545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124558t1 |
Quadratic twists by: -7 |