Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280ce |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-184892129280 = -1 · 217 · 38 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4385,115137] |
[a1,a2,a3,a4,a6] |
Generators |
[32:81:1] |
Generators of the group modulo torsion |
j |
-71157653138/1410615 |
j-invariant |
L |
5.4580615876274 |
L(r)(E,1)/r! |
Ω |
1.0112674902078 |
Real period |
R |
1.3493120367451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280br1 10320l1 123840ei1 |
Quadratic twists by: -4 8 -3 |