Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100u |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-972810168750000 = -1 · 24 · 33 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,1500625] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1176:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.9081009112774 |
L(r)(E,1)/r! |
Ω |
0.39313976961252 |
Real period |
R |
2.0807277252819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44100u2 44100d1 44100x1 |
Quadratic twists by: -3 5 -7 |