Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142o |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
106786816 = 212 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 1 3 -2 5 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:21:1] |
Generators of the group modulo torsion |
j |
221715817/126976 |
j-invariant |
L |
13.754717603085 |
L(r)(E,1)/r! |
Ω |
1.61025950996 |
Real period |
R |
0.71182716812877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52142e1 |
Quadratic twists by: 29 |