Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bq |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1775522073600 = -1 · 210 · 38 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,-63682] |
[a1,a2,a3,a4,a6] |
Generators |
[43:216:1] |
Generators of the group modulo torsion |
j |
54607676/2378475 |
j-invariant |
L |
5.1421234555077 |
L(r)(E,1)/r! |
Ω |
0.40159205945145 |
Real period |
R |
1.6005431839809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920j2 |
Quadratic twists by: -3 |