Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150o |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-17444000000 = -1 · 28 · 56 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 0 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41313,3228617] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-45:1] |
Generators of the group modulo torsion |
j |
-499073536793161/1116416 |
j-invariant |
L |
9.3337352996655 |
L(r)(E,1)/r! |
Ω |
1.0615653069005 |
Real period |
R |
0.54952667766843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1246e1 |
Quadratic twists by: 5 |