Atkin-Lehner |
3- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41085a |
Isogeny class |
Conductor |
41085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-36606735 = -1 · 36 · 5 · 112 · 83 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:16:1] |
Generators of the group modulo torsion |
j |
13651919/50215 |
j-invariant |
L |
3.4172574837984 |
L(r)(E,1)/r! |
Ω |
1.4621980595689 |
Real period |
R |
2.3370688132395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4565b1 |
Quadratic twists by: -3 |