Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bf |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-315118451133360 = -1 · 24 · 314 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6762,880481] |
[a1,a2,a3,a4,a6] |
j |
-24918016/229635 |
j-invariant |
L |
1.8582862993215 |
L(r)(E,1)/r! |
Ω |
0.46457157483037 |
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 |
35280cj1 5880t1 88200hb1 2520f1 |
Quadratic twists by: -4 -3 5 -7 |