Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360cm |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4173160000 = -1 · 26 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,340,1850] |
[a1,a2,a3,a4,a6] |
j |
67717750976/65205625 |
j-invariant |
L |
3.6413345640873 |
L(r)(E,1)/r! |
Ω |
0.91033363694024 |
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 |
103360ct1 51680d2 |
Quadratic twists by: -4 8 |