Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664v |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
56527327232 = 212 · 173 · 532 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6409,-199305] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:17:1] |
Generators of the group modulo torsion |
j |
7108898940352/13800617 |
j-invariant |
L |
3.6490771301683 |
L(r)(E,1)/r! |
Ω |
0.53363829564666 |
Real period |
R |
1.1396849264267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664u1 28832n1 |
Quadratic twists by: -4 8 |