Atkin-Lehner |
2- 3- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946s |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
-995607355176 = -1 · 23 · 33 · 7 · 23 · 315 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-78729422645,-8502645032695671] |
[a1,a2,a3,a4,a6] |
j |
-53967824545120784666103422002892521681/995607355176 |
j-invariant |
L |
5.0697648361767 |
L(r)(E,1)/r! |
Ω |
0.0045064576321581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89838k2 |
Quadratic twists by: -3 |