Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200ds |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-91341421875000000 = -1 · 26 · 312 · 512 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249825,-50213500] |
[a1,a2,a3,a4,a6] |
Generators |
[42065680:-4257815625:4096] |
Generators of the group modulo torsion |
j |
-2365396076224/125296875 |
j-invariant |
L |
6.8464838125779 |
L(r)(E,1)/r! |
Ω |
0.10644478033538 |
Real period |
R |
8.0399477845952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200by1 26400k1 15840g1 |
Quadratic twists by: -4 -3 5 |