Atkin-Lehner |
2- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12922c |
Isogeny class |
Conductor |
12922 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
325357253859993992 = 23 · 710 · 134 · 712 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1243463,-533512331] |
[a1,a2,a3,a4,a6] |
Generators |
[-16881:11794:27] |
Generators of the group modulo torsion |
j |
212628920962473122640625/325357253859993992 |
j-invariant |
L |
9.2847729939007 |
L(r)(E,1)/r! |
Ω |
0.14298196039313 |
Real period |
R |
5.4113895256273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103376t2 116298f2 90454j2 |
Quadratic twists by: -4 -3 -7 |