Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128x |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5289141309986045952 = -1 · 220 · 33 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,231743,102055583] |
[a1,a2,a3,a4,a6] |
Generators |
[-15755:1052232:125] |
Generators of the group modulo torsion |
j |
5250513632788943/20176472892708 |
j-invariant |
L |
8.6635823413887 |
L(r)(E,1)/r! |
Ω |
0.17210108296049 |
Real period |
R |
8.3900133886027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bi3 1254g4 120384s3 |
Quadratic twists by: -4 8 -3 |