Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384dm |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-17122002518016 = -1 · 214 · 36 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22224,-1290656] |
[a1,a2,a3,a4,a6] |
j |
-101634915328/1433531 |
j-invariant |
L |
0.39068820551514 |
L(r)(E,1)/r! |
Ω |
0.19534383257494 |
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 |
120384be1 30096f1 13376m1 |
Quadratic twists by: -4 8 -3 |