Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280b |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-99072000000 = -1 · 214 · 32 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 5 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1099,-6099] |
[a1,a2,a3,a4,a6] |
Generators |
[58:375:8] |
Generators of the group modulo torsion |
j |
8951619584/6046875 |
j-invariant |
L |
4.8088722744324 |
L(r)(E,1)/r! |
Ω |
0.60431179991097 |
Real period |
R |
1.9894002877084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280cz1 2580a1 123840cm1 |
Quadratic twists by: -4 8 -3 |