Atkin-Lehner |
2+ 5- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
96560g |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-16415200000 = -1 · 28 · 55 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 4 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-6164] |
[a1,a2,a3,a4,a6] |
Generators |
[57:425:1] |
Generators of the group modulo torsion |
j |
9483264/64121875 |
j-invariant |
L |
5.0847643378944 |
L(r)(E,1)/r! |
Ω |
0.57201901501217 |
Real period |
R |
0.88891526295492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48280g1 |
Quadratic twists by: -4 |