Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5841d |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
140516937 = 39 · 112 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4025,99280] |
[a1,a2,a3,a4,a6] |
Generators |
[41:23:1] |
Generators of the group modulo torsion |
j |
366293248875/7139 |
j-invariant |
L |
2.464609812012 |
L(r)(E,1)/r! |
Ω |
1.6936265514981 |
Real period |
R |
1.4552262479777 |
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 |
93456r1 5841a1 64251g1 |
Quadratic twists by: -4 -3 -11 |