Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952fb |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1061425020327867216 = 24 · 39 · 79 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325164,-51345385] |
[a1,a2,a3,a4,a6] |
j |
8077950976/2255067 |
j-invariant |
L |
3.6746422951568 |
L(r)(E,1)/r! |
Ω |
0.20414677916716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29988bg1 39984ck1 119952gr1 |
Quadratic twists by: -4 -3 -7 |