Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cs |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-329417200 = -1 · 24 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,-853] |
[a1,a2,a3,a4,a6] |
Generators |
[905:1029:125] |
Generators of the group modulo torsion |
j |
1280/7 |
j-invariant |
L |
6.8232826865441 |
L(r)(E,1)/r! |
Ω |
0.85947378091779 |
Real period |
R |
3.9694536575961 |
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 |
4900m1 78400ip1 19600ea1 2800w1 |
Quadratic twists by: -4 8 5 -7 |