Atkin-Lehner |
2- 3- 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142ba |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
1714964181167758752 = 25 · 37 · 73 · 114 · 474 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1630661,799408797] |
[a1,a2,a3,a4,a6] |
Generators |
[-651:40134:1] |
Generators of the group modulo torsion |
j |
657789576786470934793/2352488588707488 |
j-invariant |
L |
8.2767604676779 |
L(r)(E,1)/r! |
Ω |
0.26666607237343 |
Real period |
R |
0.2586493410536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714c4 |
Quadratic twists by: -3 |