Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18620a |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-91354995144313600 = -1 · 28 · 52 · 78 · 195 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58539,-13501039] |
[a1,a2,a3,a4,a6] |
j |
15032385536/61902475 |
j-invariant |
L |
4.1196682392515 |
L(r)(E,1)/r! |
Ω |
0.17165284330215 |
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 |
74480ba1 93100b1 18620r1 |
Quadratic twists by: -4 5 -7 |