Atkin-Lehner |
2- 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
31284d |
Isogeny class |
Conductor |
31284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
1783938816 = 28 · 36 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,-4426] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:2:1] |
Generators of the group modulo torsion |
j |
94875856/9559 |
j-invariant |
L |
5.4724194327569 |
L(r)(E,1)/r! |
Ω |
0.99542961372073 |
Real period |
R |
2.7487726692709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136m1 3476a1 |
Quadratic twists by: -4 -3 |