Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288i |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-318958897001472 = -1 · 210 · 310 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95272,-11383072] |
[a1,a2,a3,a4,a6] |
j |
-38898423529252/129730653 |
j-invariant |
L |
2.7168842230958 |
L(r)(E,1)/r! |
Ω |
0.13584421115479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576a1 122304f1 45864bf1 15288g1 |
Quadratic twists by: -4 8 -3 -7 |