Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288j |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
678912 |
Modular degree for the optimal curve |
Δ |
-5950265291113472 = -1 · 210 · 72 · 179 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11464,-3684932] |
[a1,a2,a3,a4,a6] |
j |
28 |
j-invariant |
L |
3.276886114788 |
L(r)(E,1)/r! |
Ω |
0.20480536887383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288b1 113288f1 |
Quadratic twists by: -7 17 |