Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720k |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-4495431560069120 = -1 · 222 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,-3398881] |
[a1,a2,a3,a4,a6] |
j |
-14641/80 |
j-invariant |
L |
1.0890884159738 |
L(r)(E,1)/r! |
Ω |
0.18151473600116 |
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 |
38720ca1 1210m1 38720j1 |
Quadratic twists by: -4 8 -11 |