Atkin-Lehner |
2+ 3+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6018b |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
471426048 = 210 · 33 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9580,356944] |
[a1,a2,a3,a4,a6] |
j |
97250327148039625/471426048 |
j-invariant |
L |
1.4703580438981 |
L(r)(E,1)/r! |
Ω |
1.4703580438981 |
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 |
48144m1 18054s1 102306k1 |
Quadratic twists by: -4 -3 17 |