Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712w |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-37969772544 = -1 · 214 · 36 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,9376] |
[a1,a2,a3,a4,a6] |
j |
-1024/3179 |
j-invariant |
L |
1.8524144517236 |
L(r)(E,1)/r! |
Ω |
0.92620705602099 |
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 |
107712ei1 13464g1 11968j1 |
Quadratic twists by: -4 8 -3 |