Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bu |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-167340142080000 = -1 · 212 · 313 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -1 -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11328,-414736] |
[a1,a2,a3,a4,a6] |
j |
53838872576/56041875 |
j-invariant |
L |
2.4865082361589 |
L(r)(E,1)/r! |
Ω |
0.31081352951996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1845e1 118080du1 9840m1 |
Quadratic twists by: -4 8 -3 |