Atkin-Lehner |
2+ 13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328d |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
3211459987044608 = 28 · 136 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 2 6 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-869255,311926534] |
[a1,a2,a3,a4,a6] |
j |
283743119535158754000/12544765574393 |
j-invariant |
L |
2.5284309157994 |
L(r)(E,1)/r! |
Ω |
0.421405150242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40664e1 |
Quadratic twists by: -4 |