Atkin-Lehner |
2- 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784k |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-177097898036985856 = -1 · 215 · 710 · 192 · 53 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 3 6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2795752,-1800315084] |
[a1,a2,a3,a4,a6] |
j |
-590010651768774863593/43236791512936 |
j-invariant |
L |
0.93403471859866 |
L(r)(E,1)/r! |
Ω |
0.058377161673533 |
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 |
14098c1 |
Quadratic twists by: -4 |