Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360j |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1005486080000 = 218 · 54 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13761,624065] |
[a1,a2,a3,a4,a6] |
j |
1099424306161/3835625 |
j-invariant |
L |
3.5262374298355 |
L(r)(E,1)/r! |
Ω |
0.88155942112832 |
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 |
103360bo1 1615a1 |
Quadratic twists by: -4 8 |