Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4440f |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-31968000000 = -1 · 211 · 33 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 -3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336,9036] |
[a1,a2,a3,a4,a6] |
Generators |
[41:250:1] |
Generators of the group modulo torsion |
j |
-2054487458/15609375 |
j-invariant |
L |
3.1310552630045 |
L(r)(E,1)/r! |
Ω |
1.0041604564812 |
Real period |
R |
1.5590413079881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8880h1 35520bg1 13320h1 22200h1 |
Quadratic twists by: -4 8 -3 5 |