Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328m |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-14595489792 = -1 · 215 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-928,-12032] |
[a1,a2,a3,a4,a6] |
Generators |
[37:54:1] [64:-432:1] |
Generators of the group modulo torsion |
j |
-21601086625/3563352 |
j-invariant |
L |
6.736045510453 |
L(r)(E,1)/r! |
Ω |
0.42858243214422 |
Real period |
R |
1.9646294986801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666n1 117312cu1 87984bl1 |
Quadratic twists by: -4 8 -3 |