Atkin-Lehner |
17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
25721c |
Isogeny class |
Conductor |
25721 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-2148243641 = -1 · 176 · 89 |
Discriminant |
Eigenvalues |
-1 1 1 4 2 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,2938] |
[a1,a2,a3,a4,a6] |
Generators |
[33:155:1] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
4.9196202159575 |
L(r)(E,1)/r! |
Ω |
1.346709754433 |
Real period |
R |
3.6530664456565 |
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 |
89a1 |
Quadratic twists by: 17 |