Atkin-Lehner |
3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41745r |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-440279296875 = -1 · 34 · 59 · 112 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5- -4 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4440,119756] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:287:1] [30:-113:1] |
Generators of the group modulo torsion |
j |
-80017515483136/3638671875 |
j-invariant |
L |
3.8563064866238 |
L(r)(E,1)/r! |
Ω |
0.93125735216985 |
Real period |
R |
0.2300537534095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235n1 41745q1 |
Quadratic twists by: -3 -11 |