Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416t |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
40829061684805632 = 214 · 314 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150344,20272368] |
[a1,a2,a3,a4,a6] |
Generators |
[292:1088:1] |
Generators of the group modulo torsion |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
2.7989393860836 |
L(r)(E,1)/r! |
Ω |
0.35130496560891 |
Real period |
R |
3.983631972341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1302f1 41664dl1 31248bo1 72912ch1 |
Quadratic twists by: -4 8 -3 -7 |