Atkin-Lehner |
2- 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
101016m |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8768541143808 = -1 · 28 · 38 · 23 · 613 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54660,4920788] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:3078:1] [76:1098:1] |
Generators of the group modulo torsion |
j |
-96775427968000/46985067 |
j-invariant |
L |
11.803454911452 |
L(r)(E,1)/r! |
Ω |
0.72244915914908 |
Real period |
R |
0.68075464563954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33672b1 |
Quadratic twists by: -3 |