Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142x |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
5281314169824 = 25 · 36 · 7 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9686,352261] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:875:1] [35:217:1] |
Generators of the group modulo torsion |
j |
137843896890393/7244601056 |
j-invariant |
L |
13.655778261524 |
L(r)(E,1)/r! |
Ω |
0.75407158329329 |
Real period |
R |
1.8109392482198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7238b2 |
Quadratic twists by: -3 |