Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610bi |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1593631019531250000 = 24 · 311 · 512 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-429798002,-3429502271071] |
[a1,a2,a3,a4,a6] |
j |
12044516187264128150490208729/2186050781250000 |
j-invariant |
L |
6.3662646033931 |
L(r)(E,1)/r! |
Ω |
0.033157628142669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870g4 |
Quadratic twists by: -3 |