Atkin-Lehner |
2+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14014a |
Isogeny class |
Conductor |
14014 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
246264451317108224 = 29 · 77 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-911948,334576080] |
[a1,a2,a3,a4,a6] |
j |
712928482228623753/2093213298176 |
j-invariant |
L |
0.62643394186648 |
L(r)(E,1)/r! |
Ω |
0.31321697093324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112bk2 126126fp2 2002a2 |
Quadratic twists by: -4 -3 -7 |